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[1] ON SOME EXTENTION PROPERTIES OF VON NEUMANN ALGEBRAS , 1967 .
[2] Irving Segal,et al. A Non-Commutative Extension of Abstract Integration , 1953 .
[3] S. Sakai. ON AUTOMORPHISM GROUPS OF {\coprod _1}-FACTORS , 1974 .
[4] R. Bowen,et al. Markov maps associated with fuchsian groups , 1979 .
[5] Marc A. Rieffel,et al. Morita equivalence for c∗-algebras and w∗-algebras , 1974 .
[6] A. Douady,et al. Champs continus d’espaces hilbertiens et de $C^\ast $ -algèbres , 1963 .
[7] A. Connes. Feuilletages et algèbres d'opérateurs , 1981 .
[8] Victor Nistor,et al. A bivariant Chern–Connes character , 1993 .
[9] George W. Mackey,et al. Ergodic theory and virtual groups , 1966 .
[10] H. Kosaki. Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity , 1982 .
[11] J. Loday,et al. Transactions of the American Mathematical Society Crossed Simplicial Groups and Their Associated Homology , 2022 .
[12] R. Plymen. Strong Morita equivalence, spinors and symplectic spinors , 1986 .
[13] D. Burghelea,et al. Cyclic homology and algebraic K-theory of spaces—II , 1986 .
[14] R. Haag,et al. Local quantum physics , 1992 .
[15] H. Kosaki. Unitarily invariant norms under which the map A→ A is Lipschitz continuous , 1992 .
[16] U. Haagerup. All nuclearC*-algebras are amenable , 1983 .
[17] A. Ramsay. Virtual groups and group actions , 1971 .
[18] Michel Hilsum. Signature operator on lipschitz manifolds and unbounded Kasparov bimodules , 1985 .
[19] M. Stone,et al. A General Theory of Spectra. I: I. , 1940, Proceedings of the National Academy of Sciences of the United States of America.
[20] M. Shubin,et al. ALMOST PERIODIC FUNCTIONS AND PARTIAL DIFFERENTIAL OPERATORS , 1978 .
[21] P. D. L. Harpe,et al. Déterminant associé à une trace sur une algèbre de Banach , 1984 .
[22] Sorin Popa,et al. Classification of subfactors: the reduction to commuting squares , 1990 .
[23] L. Hörmander. The weyl calculus of pseudo‐differential operators , 1979 .
[24] R. Plymen. Reduced C∗-algebra for reductive p-adic groups , 1990 .
[25] U. Haagerup. Conne’s bicentralizer problem and uniqueness of the injective factor of type III1 , 1987 .
[26] E. Hopf. Ergodic theory and the geodesic flow on surfaces of constant negative curvature , 1971 .
[27] Nicolae Teleman. The index theorem for topological manifolds , 1984 .
[28] W. Schmid. Some properties of square-integrable representations of semisimple Lie groups , 1975 .
[29] S. Eilenberg,et al. Homological Algebra (PMS-19) , 1956 .
[30] G. Luke. Pseudodifferential operators on Hilbert bundles , 1972 .
[31] Michel Hilsum. Fonctorialité en K-Théorie bivariante pour les variétés lipschitziennes , 1989 .
[32] I. Singer. Some remarks on operator theory and index theory , 1977 .
[33] H. Bacry. Localizability and space in quantum physics , 1988 .
[34] A. Valette. Minimal projections, integrable representations and property (T) , 1984 .
[35] A. Connes,et al. Entropy for automorphisms of II1 von neumann algebras , 1975 .
[36] B. Kostant,et al. Differential Forms on Regular Affine Algebras , 1962 .
[37] Categories of fractions and excision in KK-theory , 1990 .
[38] S. Patterson. The limit set of a Fuchsian group , 1976 .
[39] F. Martinelli,et al. Constructive proof of localization in the Anderson tight binding model , 1985 .
[40] D. Sullivan. Cycles for the dynamical study of foliated manifolds and complex manifolds , 1976 .
[41] S. M. Ulam,et al. Measure-Preserving Homeomorphisms and Metrical Transitivity , 1941 .
[42] M. Shubin. Almost-periodic elliptic operators and von Neumann algebras , 1975 .
[43] George A. Elliott,et al. On the classification of inductive limits of sequences of semisimple finite-dimensional algebras , 1976 .
[44] R. Kadison,et al. Fundamentals of the Theory of Operator Algebras , 1983 .
[45] G. Kasparov. HILBERT C?-MODULES: THEOREMS OF STINESPRING AND VOICULESCU , 1980 .
[46] J. Vey. Déformation du crochet de poisson sur une variété symplectique , 1975 .
[47] Quantized differential forms , 1968 .
[48] P. Jolissaint. K-theory of reduced C*-algebras and rapidly decreasing functions on groups , 1989 .
[49] G. Temple. The physical principles of the quantum theory , 1932 .
[50] J. Dixmier. Les C*-algèbres et leurs représentations .. , 1964 .
[51] Explicit functional determinants in four dimensions , 1991 .
[52] D. Burghelea. The cyclic homology of the group rings , 1985 .
[53] S. Power. Hankel Operators on Hilbert Space , 1980 .
[54] W. Dwyer,et al. Normalizing the cyclic modules of connes , 1985 .
[55] G. C. Shephard,et al. Tilings and Patterns , 1990 .
[56] B. Blackadar. The regular representation of restricted direct product groups , 1977 .
[57] Y. Manin. Algebraic aspects of nonlinear differential equations , 1979 .
[58] R. G. Douglas,et al. Extensions of C*-algebras and K-homology , 1977 .
[59] A. Connes. On the Chern character of θ summable Fredholm modules , 1991 .
[60] Peter B. Gilkey,et al. The index theorem and the heat equation , 1974 .
[61] A. Jaffe,et al. Index of a family of Dirac operators on loop space , 1987 .
[62] M. Gerstenhaber,et al. Algebraic Cohomology and Deformation Theory , 1988 .
[63] E. Kirchberg,et al. OnC*-algebras having linear, polynomial and subexponential growth , 1992 .
[64] Larry B. Schweitzer. A SHORT PROOF THAT Mn(A) IS LOCAL IF A IS LOCAL AND FRÉCHET , 1992 .
[65] W. Schmid. On a Conjecture of Langlands , 1971 .
[66] Kunz. Quantized currents and topological invariants for electrons in incommensurate potentials. , 1986, Physical review letters.
[67] R. Rochberg,et al. Nearly weakly orthonormal sequences, singular value estimates, and Calderon-Zygmund operators , 1989 .
[68] A. Calderón,et al. Intermediate spaces and interpolation , 1963 .
[69] A. Connes. On the spatial theory of von Neumann algebras , 1980 .
[70] D. Kastler. Cyclic cocycles from graded KMS functionals , 1989 .
[71] R. Douglas. Banach Algebra Techniques in Operator Theory , 1972 .
[72] Jean-Pierre Serre. Modules projectifs et espaces fibrés à fibre vectorielle , 1958 .
[73] M. Rieffel. Deformation quantization of Heisenberg manifolds , 1989 .
[74] J. Bellissard. K-theory of C*—Algebras in solid state physics , 1986 .
[75] J. E. Moyal. Quantum mechanics as a statistical theory , 1949, Mathematical Proceedings of the Cambridge Philosophical Society.
[76] A. Connes,et al. The L2-index theorem for homogeneous spaces of Lie groups , 1982 .
[77] Graeme Segal,et al. Equivariant K-theory , 1968 .
[78] D. Lieberman,et al. Fourier analysis , 2004, Journal of cataract and refractive surgery.
[79] John D. S. Jones,et al. Some algebraic properties of cyclic homology groups , 1987 .
[80] John D. S. Jones. Cyclic homology and equivariant homology , 1987 .
[81] Claire Delaroche,et al. Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés , 1968 .
[82] A. Grothendieck,et al. Produits Tensoriels Topologiques Et Espaces Nucleaires , 1966 .
[83] J. Cuntz. A class ofC*-algebras and topological markov chains II: Reducible chains and the ext-functor forC*-algebras , 1981 .
[84] P. Jolissaint. Rapidly decreasing functions in reduced *-algebras of groups , 1990 .
[85] I. Segal. A class of operator algebras which are determined by groups , 1951 .
[86] M. Gromov. Volume and bounded cohomology , 1982 .
[87] I. Gel'fand,et al. COHOMOLOGY OF THE LIE ALGEBRA OF FORMAL VECTOR FIELDS , 1970 .
[88] J. Tate. Fourier analysis in number fields and Hecke's zeta-functions , 1950 .
[89] Automorphisms of full $\mathbf{II}_1$ factors, with applications to factors of type $\mathbf{III}$ , 1976 .
[90] Benjamin Weiss,et al. Ergodic theory of amenable group actions. I: The Rohlin lemma , 1980 .
[91] A. Beardon. The Exponent of Convergence of Poincaré Series , 1968 .
[92] J. Brylinski,et al. Cyclic homology and the Selberg principle , 1992 .
[93] Marc A. Rieffel,et al. Dimension and Stable Rank in the K‐Theory of C*‐Algebras , 1983 .
[94] Jürg Fröhlich. Non-Perturbative Quantum Field Theory , 1992 .
[95] D. Sullivan. Geometric periodicity and the invariants of manifolds , 1971 .
[96] A. Connes,et al. Caract6re multiplicatif d'un module de Fredholm , 1988 .
[97] Wolfgang Krieger. On ergodic flows and the isomorphism of factors , 1976 .
[98] Robert B. Laughlin,et al. Quantized Hall conductivity in two-dimensions , 1981 .
[99] J. Fröhlich,et al. Absence of diffusion in the Anderson tight binding model for large disorder or low energy , 1983 .
[100] J. Adams,et al. Stable homotopy and generalised homology , 1974 .
[101] Marc A. Rieffel,et al. C∗-algebras associated with irrational rotations , 1981 .
[102] B. Blackadar. A simple *-algebra with no nontrivial projections , 1980 .
[103] R. Feynman. Elementary Particles and the Laws of Physics: The reason for antiparticles , 1987 .
[104] A. Connes. Compact metric spaces, Fredholm modules, and hyperfiniteness , 1989, Ergodic Theory and Dynamical Systems.
[105] A. Connes,et al. Mathematical Physics the Action Functional in Non-commutative Geometry , 2022 .
[106] D. Voiculescu. On the existence of quasicentral approximate units relative to normed ideals. Part I , 1990 .
[107] S. Woronowicz,et al. Compact matrix pseudogroups , 1987 .
[108] Dennis Sullivan,et al. On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions , 1981 .
[109] Y. Maeda,et al. Existence of a closed star product , 1992 .
[110] R. Zekri. A new description of Kasparov's theory of C-algebra extensions , 1989 .
[111] A. Connes. Almost periodic states and factors of type III1 , 1974 .
[112] John E. Roberts,et al. Local observables and particle statistics I , 1971 .
[113] M. Gromov,et al. Group cohomology with lipschitz control and higher signatures , 1993 .
[114] M. Rieffel,et al. Stable isomorphism and strong Morita equivalence of $C^*$-algebras. , 1977 .
[115] I. Singer. FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS , 1972 .
[116] Victor Guillemin,et al. A New Proof of Weyl's Formula on the Asymptotic Distribution of Eigenvalues , 1985 .
[117] Rudolf Haag,et al. On the equilibrium states in quantum statistical mechanics , 1967 .
[118] Kiyoshi Igusa. Higher Singularities of Smooth Functions are Unnecessary , 1984 .
[119] A. Connes,et al. CHERN CHARACTER FOR DISCRETE GROUPS , 1988 .
[120] G. Pedersen. C-Algebras and Their Automorphism Groups , 1979 .
[121] A. Connes,et al. Measure space automorphisms, the normalizers of their full groups, and approximate finiteness , 1977 .
[122] D. Sullivan. The density at infinity of a discrete group of hyperbolic motions , 1979 .
[123] A. Connes. Outer conjugacy classes of automorphisms of factors , 1975 .
[124] J. Heitsch,et al. Homotopy invariance of foliation Betti numbers , 1991 .
[125] R. Bowen. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms , 1975 .
[126] A. Beardon. THE HAUSDORFF DIMENSION OF SINGULAR SETS OF PROPERLY DISCONTINUOUS GROUPS. , 1966 .
[127] M. Takesaki. Duality for crossed products and the structure of von Neumann algebras of type III , 1973 .
[128] A.. CLIFFORD MODULES , 1964 .
[129] R. Howe,et al. Integral operators: Traces, index, and homology , 1973 .
[130] R. Bott. The Index Theorem for Homogeneous Differential Operators , 1965 .
[131] D. Thouless. Localisation and the two-dimensional Hall effect , 1981 .
[132] V. Jones. Actions of finite groups on the hyperfinite type ₁ factor , 1980 .
[133] A. Connes,et al. Quasi homomorphismes, cohomologie cyclique et positivité , 1988 .
[134] The equivalence of various definitions for a properly infinite von Neumann algebra to be approximately finite dimensional , 1976 .
[135] D. Arnal,et al. Covariance and geometrical invariance in *quantization , 1983 .
[136] Joachim Cuntz,et al. K-theory and C*-algebras , 1984 .
[137] P. V. Mouche. The coexistence problem for the discrete Mathieu operator , 1989 .
[138] M. Karoubi. K-Theory: An Introduction , 1978 .
[139] W. Schmid. L2-cohomology and the discrete series , 1976 .
[140] Tosio Kato. Continuity of the Map S→|S| for Linear Operators , 1973 .
[141] G. Skandalis. Une Notion de nucléarité en K-théorie (d'après J. Cuntz) , 1988 .
[142] Ronald Brown. From Groups to Groupoids: a Brief Survey , 1987 .
[144] U. Haagerup,et al. Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one , 1989 .
[145] S. Woronowicz. Twisted SU (2) group. An example of a non-commutative differential calculus , 1987 .
[146] André Lichnerowicz. Deformation theory and quantization , 1979 .
[147] H. Dye. ON GROUPS OF MEASURE PRESERVING TRANSFORMATIONS. I. , 1959 .
[148] R. Kerner,et al. Noncommutative differential geometry and new models of gauge theory , 1990 .
[149] J. Neumann. On Rings of Operators. Reduction Theory , 1949 .
[150] R. Plymen,et al. The Dirac operator and the principal series for complex semisimple Lie groups , 1983 .
[151] H. Moscovici,et al. Harmonically induced representations of nilpotent lie groups , 1978 .
[152] U. Haagerup,et al. Diameters of state spaces of type III factors , 1985 .
[153] Leon A. Takhtajan,et al. Quantization of Lie Groups and Lie Algebras , 1987 .
[154] A. Connes,et al. An analogue of the thom isomorphism for crossed products of a C∗ algebra by an action of R , 1981 .
[155] K-theoretic amenability for discrete groups. , 1983 .
[156] E. Getzler. The odd chern character in cyclic homology and spectral flow , 1993 .
[157] T. Natsume. Topological $K$-Theory for Codimension One Foliations Without Holonomy , 1985 .
[158] A. Connes,et al. Géométrie non commutative , 1990 .
[159] G. ’t Hooft,et al. Renormalizable Lagrangians for Massive Yang-mills Fields , 2022 .
[160] A. Connes. Sur la theorie non commutative de l’integration , 1979 .
[161] Tensor products of operator algebras , 1977 .
[162] M. Wodzicki. Local invariants of spectral asymmetry , 1984 .
[163] S. J. Patterson. Some Examples of Fuchsian Groups , 1979 .
[164] M. Atiyah,et al. Seminar on the Atiyah-Singer Index Theorem. , 1968 .
[165] O. Bratteli. Operator Algebras And Quantum Statistical Mechanics , 1979 .
[166] A. Katok,et al. Secondary classes and transverse measure theory of a foliation , 1984 .
[167] R. Wood. Banach algebras and Bott periodicity , 1966 .
[168] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .
[169] C. Akemann,et al. Unbounded Negative Definite Functions , 1981, Canadian Journal of Mathematics.
[170] Frederick M. Goodman,et al. Coxeter graphs and towers of algebras , 1989 .
[171] R. Douglas. C*-Algebra Extensions And K-Homology , 1980 .
[172] Wolfgang Krieger. On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space , 1970 .
[173] Claude L. Schochet,et al. Steenrod homology and operator algebras , 1975 .
[174] S. Popa,et al. Entropy and index for subfactors , 1986 .
[175] G. Elliott,et al. Cyclic cohomology for one-parameter smooth crossed products , 1988 .
[176] A. Lichnerowicz. Déformations d’algèbres associées à une variété symplectique (les $*_\nu $-produits) , 1982 .
[177] M. Karoubi. Homologie cyclique et K-théorie , 1987 .
[178] A. Connes,et al. Particle models and noncommutative geometry , 1991 .
[179] D. Handelman. Extensions for AF * algebras and dimension groups , 1982 .
[180] J. Dixmier. Formes linéaires sur un anneau d'opérateurs , 1953 .
[181] Barry Johnson. Cohomology in Banach Algebras , 1972 .
[182] E. Davies. Lipschitz Continuity of Functions of Operators in the Schatten Classes , 1988 .
[183] Victor Nistor,et al. Cyclic cohomology of crossed products by algebraic groups , 1993 .
[184] E. Hall. On a new Action of the Magnet on Electric Currents , 1879 .
[185] W. Arveson. On subalgebras of $C^*$-algebras , 1969 .
[186] S. Novikov. Pontrjagin Classes, the Fundamental Group and some Problems of Stable Algebra1 , 1970 .
[187] B. Kostant,et al. Graded manifolds, graded Lie theory, and prequantization , 1977 .
[188] O. Bratteli. Inductive limits of finite dimensional C*-algebras , 1972 .
[189] W. Pusz,et al. Form convex functions and the wydl and other inequalities , 1978 .
[190] D. Quillen,et al. Cyclic homology and the Lie algebra homology of matrices , 1984 .
[191] J. Vesterstrøm. Quotients of finite $W^ *$-algebras , 1971 .
[192] B. Simon,et al. Cantor spectrum for the almost Mathieu equation , 1982 .
[193] Alexander Grothendieck,et al. Sur quelques points d'algèbre homologique, I , 1957 .
[194] F. Combes,et al. Poids associé à une algèbre hilbertienne à gauche , 1971 .
[195] P. Porcelli,et al. On rings of operators , 1967 .
[196] A. Connes. Cyclic cohomology and the transverse fundamental class of a foliation , 2022 .
[197] Joseph L. Taylor. Topological invariants of the maximal ideal space of a Banach algebra , 1976 .
[198] K-theory for the leaf space of foliations by Reeb components , 1985 .
[199] H. Fédérer. Geometric Measure Theory , 1969 .
[200] J. Cuntz. Generalized homomorphisms between C*-algebras and KK-theory , 1983 .
[201] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[202] André Weil,et al. Basic number theory , 1967 .
[203] A. Connes. Caractérisation des espaces vectoriels ordonnés sous-jacents aux algèbres de von Neumann , 1974 .
[204] M. W. Binder. On induced representations of discrete groups , 1993 .
[205] S. Goodman,et al. Holonomy and averaging in foliated sets , 1979 .
[206] E. Getzler. A SHORT PROOF OF THE LOCAL ATIYAH-SINGER INDEX THEOREM* , 1986 .
[207] E. Witten. Supersymmetry and Morse theory , 1982 .
[208] W. L. Paschke. Inner Product Modules Over B ∗ -Algebras , 1973 .
[209] G. Pedersen. Measure Theory for $C^*$ Algebras. , 1969 .
[210] J. Renault. A Groupoid Approach to C*-Algebras , 1980 .
[211] Calvin C. Moore,et al. Ergodic equivalence relations, cohomology, and von Neumann algebras. II , 1977 .
[212] End Point Results for Estimates of Singular Values of Singular Integral Operators , 1988 .
[213] A. Miščenko. INFINITE-DIMENSIONAL REPRESENTATIONS OF DISCRETE GROUPS, AND HIGHER SIGNATURES , 1974 .
[214] Huzihiro Araki,et al. Relative Hamiltonian for Faithful Normal States of a von Neumann Algebra , 1973 .
[215] A. Ocneanu. Operator Algebras and Applications: Quantized groups, string algebras, and Galois theory for algebras , 1989 .
[216] J. Pradines. How to define the differentiable graph of a singular foliation , 1985 .
[217] H. Kosaki. On the continuity of the map ϑ → ¦ϑ¦ from the predual of a W∗-algebra , 1984 .
[218] F. J. Yeadon. A new proof of the existence of a trace in a finite von Neumann algebra , 1971 .
[219] John D. S. Jones,et al. A∞ algebras and the cyclic bar complex. , 1990 .
[220] Ergodic actions of compact groups on operator algebras , 1988 .
[221] Charles Fefferman,et al. Characterizations of bounded mean oscillation , 1971 .
[222] Exact Sequences for the Kasparov Groups of Graded Algebras , 1985, Canadian Journal of Mathematics.
[223] D. Spector. Supersymmetry and the Möbius inversion function , 1990 .
[224] Theory of Many-Particle Systems , 1989 .
[225] J. Zak,et al. MAGNETIC TRANSLATION GROUP , 1964 .
[226] S. Stratila,et al. Modular Theory in Operator Algebras , 1981 .
[227] G. Dorda,et al. New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance , 1980 .
[228] A. Connes. Entire cyclic cohomology of Banach algebras and characters of θ-summable Fredholm modules , 1988 .
[229] R. Bowen. Hausdorff dimension of quasi-circles , 1979 .
[230] A. Katok,et al. Ergodic theory and Weil measures for foliations , 1987 .
[231] M. Atiyah. Elliptic operators, discrete groups and von Neumann algebras , 1976 .
[232] John Milnor,et al. Introduction to algebraic K-theory , 1971 .
[233] A. Connes. Une classification des facteurs de type ${\rm III}$ , 1973 .
[234] Irving Ezra Segal. Foundations of the theory of dynamical systems of infinitely many degrees of freedom , 1959 .
[235] W. Donoghue. Monotone Matrix Functions and Analytic Continuation , 1974 .
[236] A. Mishchenko. C*-Algebras and K-theory , 1979 .
[237] G. Kasparov. EquivariantKK-theory and the Novikov conjecture , 1988 .
[238] A. Connes,et al. Closed star products and cyclic cohomology , 1992 .
[239] Yitzhak Katznelson,et al. Sigma-finite invariant measures for smooth mappings of the circle , 1977 .
[240] R. Powers. Representations of Uniformly Hyperfinite Algebras and Their Associated von Neumann Rings , 1967 .
[241] И.М. Гельфанд,et al. On the imbedding of normed rings into the ring of operators in Hilbert space , 1943 .
[242] J. Cuntz. K-theory for certain C-algebras , 1981 .
[243] Victor Nistor,et al. Group cohomology and the cyclic cohomology of crossed products , 1990 .
[244] Michael E. Taylor,et al. The Analysis of Linear Partial Differential Operators, Vols I & II. , 1985 .
[245] M. Shubin. THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS , 1979 .
[246] H. Abels. Parallelizability of proper actions, globalK-slices and maximal compact subgroups , 1974 .
[247] D. Sarason. Functions of vanishing mean oscillation , 1975 .
[248] A. Fomenko,et al. THE INDEX OF ELLIPTIC OPERATORS OVER C*-ALGEBRAS , 1980 .
[249] H.,et al. Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture , 2022 .
[250] An analytic proof of Novikov’s theorem on rational Pontrjagin classes , 1983 .
[251] G. Kasparov. THE OPERATOR K-FUNCTOR AND EXTENSIONS OF C*-ALGEBRAS , 1981 .
[252] U. Haagerup. A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space , 1985 .
[253] A. Weil. Fonction zêta et distributions , 1979 .
[254] Joachim Cuntz,et al. SimpleC*-algebra generated by isometries , 1977 .
[255] R. Kadison. IRREDUCIBLE OPERATOR ALGEBRAS. , 1957, Proceedings of the National Academy of Sciences of the United States of America.
[256] M. Karoubi. Foncteurs derives et K-theorie , 1970 .
[257] N. Mukunda. Expansion of lie groups and representations of SL(3, C) , 1969 .
[258] L. Hörmander. Fourier integral operators. I , 1995 .
[259] A. Grothendieck. Techniques de construction et théorèmes d'existence en géométrie algébrique III : préschémas quotients , 1961 .
[260] P. Lelong. Les fonctions plurisousharmoniques , 1945 .
[261] E. Wigner,et al. On the Contraction of Groups and Their Representations. , 1953, Proceedings of the National Academy of Sciences of the United States of America.
[262] S. Weinberg,et al. Conceptual foundations of the unified theory of weak and electromagnetic interactions. , 1980, Science.
[263] Jun Tomiyama,et al. ON THE PROJECTION OF NORM ONE IN W*-ALGEBRAS, III , 1957 .
[264] J. Kirkwood. The statistical mechanical theory of irreversible processes , 1949 .
[265] D. Quillen. Superconnections and the Chern character , 1985 .
[266] D. Sullivan. HYPERBOLIC GEOMETRY AND HOMEOMORPHISMS , 1979 .
[267] A. Connes,et al. THE FLOW OF WEIGHTS ON FACTORS OF TYPE III Part1 , 1977 .
[268] M. Atiyah. Elliptic operators and compact groups , 1974 .
[269] E. Størmer,et al. Free states of the canonical anticommutation relations , 1970 .
[270] I. Good,et al. Fractals: Form, Chance and Dimension , 1978 .
[271] F. Bayen,et al. Quantum mechanics as a deformation of classical mechanics , 1977 .
[272] J. von Neumann,et al. On rings of operators. II , 1937 .
[273] C. Dodson,et al. LIE GROUPOIDS AND LIE ALGEBROIDS IN DIFFERENTIAL GEOMETRY , 1988 .
[274] D. Mcduff. Central Sequences and the Hyperfinite Factor , 1970 .
[275] Edward G. Effros,et al. Dimension Groups and Their Affine Representations , 1980 .
[276] Pierre de la Harpe,et al. La propriété (T) de Kazhdan pour les groupes localement compacts , 1989 .
[277] Marc A. Rieffel,et al. Induced representations of C∗-algebras , 1974 .
[278] R. Zimmer. Hyperfinite factors and amenable ergodic actions , 1977 .
[279] Richard G. Swan,et al. Vector bundles and projective modules , 1962 .
[280] W. Thurston. Noncobordant foliations of $S^3 $ , 1972 .
[281] A. Connes,et al. The Longitudinal Index Theorem for Foliations , 1984 .
[282] B. Julia. Statistical Theory of Numbers , 1990 .
[283] M. D. Wilde,et al. Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds , 1983 .
[284] L. Bers. Uniformization by Beltrami equations , 1961 .
[285] S. Sakai. C*-Algebras and W*-Algebras , 1971 .
[286] S. Janson,et al. Schatten classes and commutators of singular integral operators , 1982 .
[287] P. Shields. The theory of Bernoulli shifts , 1973 .
[288] G. Segal,et al. Loop groups and equations of KdV type , 1985 .
[289] A. Jaffe,et al. QuantumK-theory , 1988 .
[290] A. Connes,et al. Yang-Mills for noncommutative two-tori , 1987 .
[291] A. Connes. On the cohomology of operator algebras , 1978 .
[292] G. Skandalis,et al. Stabilité des $C^*$-algèbres de feuilletages , 1983 .
[293] U. Haagerup. An example of a non nuclearC*-algebra, which has the metric approximation property , 1978 .
[294] D. Kastler. Cyclic cohomology within the differential envelope: An introduction to Alain Connes' non-commutative differential geometry , 1988 .
[295] A. Connes,et al. Property T for von Neumann Algebras , 1985 .
[296] Vaughan F. R. Jones. Index for subfactors , 1983 .
[297] M. Kreĭn,et al. ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM , 1971 .
[298] J. Brylinski. Some examples of hochschild and cyclic homology , 1987 .
[299] 竹崎 正道. Tomita's theory of modular Hilbert algebras and its applications , 1970 .
[300] J. Cuntz. A new look at KK-theory , 1987 .
[301] R. Kadison,et al. Cohomology of operator algebras. III : reduction to normal cohomology , 1972 .
[302] Y. Maeda,et al. Weyl manifolds and deformation quantization , 1991 .
[303] Claude L. Schochet,et al. Generalized homology theories on compact metric spaces. , 1977 .
[304] B. Kostant. On the existence and irreducibility of certain series of representations , 1969 .
[305] Theworkof Alain Connes. CLASSIFICATION OF INJECTIVE FACTORS , 1981 .
[306] A. Connes,et al. Homogeneity of the state space of factors of type III1 , 1978 .
[307] H. E. Winkelnkemper. The graph of a foliation , 1983 .
[308] Huzihiro Araki,et al. Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra , 1973 .
[309] T. Andô,et al. An inequality for trace ideals , 1980 .
[310] A. Connes. Noncommutative Geometry and Physics , 2006 .
[311] M. Gromov,et al. Positive scalar curvature and the Dirac operator on complete riemannian manifolds , 1983 .
[312] H. Takai. On a duality for crossed products of C∗-algebras , 1975 .
[313] Nicolae Teleman. The index of signature operators on Lipschitz manifolds , 1983 .
[314] V. Jones. A polynomial invariant for knots via von Neumann algebras , 1985 .
[315] E. Getzler. Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem , 1983 .
[316] M. Kreĭn,et al. Introduction to the theory of linear nonselfadjoint operators , 1969 .
[317] S. Weinberger. Aspects of the Novikov conjecture , 1990 .
[318] R. Parthasarathy. Dirac operator and discrete series , 1972 .
[319] M. Karoubi,et al. $K$-théorie algébrique et $K$-théorie topologique I. , 1971 .
[320] D. Kastler. The C*-algebras of a free Boson field , 1965 .
[321] G. Skandalis. Some remarks on Kasparov theory , 1984 .
[322] D. Sullivan,et al. Quasiconformal 4-manifolds , 1989 .
[323] U. Haagerup. Operator valued weights in von Neumann algebras, II , 1979 .
[324] M. Wodzicki. Excision in cyclic homology and in rational algebraic $K$-theory , 1989 .
[325] E. Effros,et al. Separable nuclear $C^\ast$-algebras and injectivity , 1976 .
[326] M. Kreĭn,et al. Infinite hankel matrices and generalized carathéodory — fejer and riesz problems , 1968 .
[327] Theorem on lacunary isomorphisms of monotonic sequences of partitions , 1968 .
[328] J. Sauvageot. Semi-groupe de la chaleur transverse sur laC*-algèbre d'un feuilletage riemannien , 1996 .
[329] Benjamin Weiss,et al. An amenable equivalence relation is generated by a single transformation , 1981, Ergodic Theory and Dynamical Systems.
[330] J.-L. Loday,et al. Extensions centrales d'algèbres de Lie , 1982 .
[331] H. Araki. Expansional in banach algebras , 1973 .
[332] R. Zimmer. On the von Neumann algebra of an ergodic group action , 1977 .
[333] J. Sauvageot. Sur le type du produit croisé d'une algèbre de von Neumann par un groupe localement compact , 1977 .
[334] P. Dirac. The Quantum Theory of the Emission and Absorption of Radiation , 1927 .
[335] J. Lions,et al. Sur Une Classe D’Espaces D’Interpolation , 1964 .
[336] G. Skandalis,et al. Morphismes $K$-orientés d’espaces de feuilles et fonctorialité en théorie de Kasparov (d’après une conjecture d’A. Connes) , 1987 .
[337] A. Connes. The von Neumann algebra of a foliation , 1978 .
[338] B. Tsygan. COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The homology of matrix Lie algebras over rings and the Hochschild homology , 1983 .
[339] M. Takesaki. ON THE CROSS-NORM OF THE DIRECT PRODUCT OF C *-ALGEBRAS , 1964 .
[340] W. Rudin. Real and complex analysis , 1968 .
[341] Uffe Haagerup,et al. The Grothendieck inequality for bilinear forms on C∗-algebras , 1985 .
[342] Tadeusz Iwaniec,et al. Quasiregular mappings in even dimensions , 1993 .
[343] S. P. Wang. On the first cohomology group of discrete groups with property $(T)$ , 1974 .
[344] R. Howe,et al. Traces of commutators of integral operators , 1975 .
[345] M. R. Herman. Sur la Conjugaison Différentiable des Difféomorphismes du Cercle a des Rotations , 1979 .
[346] B. Blackadar,et al. K-Theory for Operator Algebras , 1986 .
[347] U. Haagerup. The standard form of von Neumann algebras. , 1975 .
[348] J. Milnor. Topology from the differentiable viewpoint , 1965 .
[349] Michael Atiyah,et al. The index of elliptic operators on compact manifolds , 1963 .
[350] H. Araki. Relative Entropy of States of von Neumann Algebras , 1975 .
[351] J. Brylinski. Cyclic homology and equivariant theories , 1987 .
[352] W. Thurston. The geometry and topology of 3-manifolds , 1979 .
[353] Gheorghe Lusztig,et al. Novikov's higher signature and families of elliptic operators , 1972 .
[354] A. Szenes,et al. On the Chern character of a theta-summable Fredholm module , 1989 .
[355] George A. Elliott,et al. On totally ordered groups, and K0 , 1979 .
[356] Victor Nistor,et al. A Bivariant Chern character for p-summable quasihomomorphisms , 1991 .
[357] W. Arveson. Notes on extensions of $C^*$-algebras , 1977 .
[358] J. Cooper,et al. Les Algebres d'Operateurs dans l'Espace Hilbertien , 1958 .
[359] F. Scheck,et al. Noncommutative geometry and graded algebras in electroweak interactions , 1992 .
[360] V. K. Patodi,et al. On the heat equation and the index theorem , 1973 .
[361] D. Quillen,et al. On excision in periodic cyclic cohomology , 1993 .
[362] A. Ranicki. The algebraic theory of surgery , 1980 .
[363] D. Quillen. Algebra cochains and cyclic cohomology , 1988 .
[364] Lawrence G. Brown,et al. Stable isomorphism of hereditary subalgebras of $C^*$-algebras. , 1977 .
[365] M. Rieffel. The cancellation theorem for projective modules over irrational rotation C*-algebras , 1983 .
[366] John Roe,et al. An index theorem on open manifolds. I , 1988 .
[367] Inequalities for the Schatten p-Norm . , .
[368] Normal weights on W∗-algebras , 1975 .
[369] M. Gromov. Groups of polynomial growth and expanding maps , 1981 .
[370] G. Skandalis,et al. Invariance par homotopie de la signature à coefficients dans un fibré presque plat. , 1992 .
[371] M. Takesaki. Theory of Operator Algebras II , 1979 .
[372] A. Connes,et al. Dynamical Entropy of C* Algebras and yon Neumann Algebras , 1987 .
[373] Jean-Pierre Serre. Cours d'arithmétique , 1971 .
[374] Phillip A. Ostrand,et al. On a tensor product $C^{*}$-algebra associated with the free group on two generators , 1975 .
[375] B. Simon. Trace ideals and their applications , 1979 .
[376] P. Delorme. 1-cohomologie des représentations unitaires des groupes de Lie semi-simples et résolubles. Produits tensoriels continus de représentations , 1977 .
[377] J. Rosenberg. Realization of square-integrable representations of unimodular Lie groups on ²-cohomology spaces , 1980 .