Operator Algebras

Operators on Hilbert Space.- C*-Algebras.- Von Neumann Algebras.- Further Structure.- K-Theory and Finiteness.

[1]  J. Feldman,et al.  Ergodic equivalence relations, cohomology, and von Neumann algebras , 1975 .

[2]  E. Effros,et al.  Nuclear C ∗ -Algebras and the Approximation Property , 1978 .

[3]  R. Arens The adjoint of a bilinear operation , 1951 .

[4]  E. Effros Amenability and virtual diagonals for von Neumann algebras , 1988 .

[5]  A. V. Daele Discrete Quantum Groups , 1996 .

[6]  N. Kuiper The homotopy type of the unitary group of Hilbert space , 1965 .

[7]  H. Takai On The Baum-Connes Conjecture , 1991 .

[8]  C. Moore Invariant measures on product spaces , 1967 .

[9]  竹崎 正道 Tomita's theory of modular Hilbert algebras and its applications , 1970 .

[10]  R. Howe,et al.  The unitary representation theory of GL(n) of an infinite discrete field , 1989 .

[11]  S. Woronowicz,et al.  Quantum deformation of lorentz group , 1990 .

[12]  R. Kadison Similarity of operator algebras , 1978 .

[13]  Kiiti Morita,et al.  Duality for modules and its applications to the theory of rings with minimum condition , 1958 .

[14]  Eberhard Kirchberg,et al.  Non-simple purely infinite C∗-algebras: the Hausdorff case , 2004 .

[15]  M. Stone,et al.  Linear Transformations in Hilbert Space: III. Operational Methods and Group Theory. , 1930, Proceedings of the National Academy of Sciences of the United States of America.

[16]  Claude L. Schochet,et al.  Topological methods for $C^{\ast}$-algebras. II. Geometry resolutions and the Künneth formula. , 1982 .

[17]  E. J. Woods,et al.  A Classification of Factors , 1968 .

[18]  B. Blackadar The regular representation of restricted direct product groups , 1977 .

[19]  Means and convex combinations of unitary operators. , 1985 .

[20]  Moyennabilite du groupe unitaire et propriete P de Schuartz des algebres de von Neumann , 1979 .

[21]  A Note on Scattered C*-Algebras and the Radon-Nikodym Property , 1981 .

[22]  Vaughan F. R. Jones,et al.  On knot invariants related to some statistical mechanical models , 1989 .

[23]  H. Takai On a duality for crossed products of C∗-algebras , 1975 .

[24]  G. Pedersen Pullback and Pushout Constructions in C*-Algebra Theory , 1999 .

[25]  S. Sakai C*-Algebras and W*-Algebras , 1971 .

[26]  M. Landstad,et al.  Duality theory for covariant systems , 1979 .

[27]  Eberhard Kirchberg,et al.  Exact C*-Algebras, Tensor Products, and the Classification of Purely Infinite Algebras , 1995 .

[28]  V. Jones A polynomial invariant for knots via von Neumann algebras , 1985 .

[29]  V. Paulsen Every Completely Polynomially Bounded Operator Is Similar to a Contraction , 1984 .

[30]  Calvin C. Moore,et al.  Ergodic equivalence relations, cohomology, and von Neumann algebras. II , 1977 .

[31]  F. Smithies A HILBERT SPACE PROBLEM BOOK , 1968 .

[32]  The positive cone in Banach algebras , 1953 .

[33]  Lawrence G. Brown,et al.  Stable isomorphism of hereditary subalgebras of $C^*$-algebras. , 1977 .

[34]  R. Warfield Cancellation of modules and groups and stable range of endomorphism rings. , 1980 .

[35]  J. Cooper,et al.  Les Algebres d'Operateurs dans l'Espace Hilbertien , 1958, The Mathematical Gazette.

[36]  R. Kadison,et al.  Cohomology of operator algebras. III : reduction to normal cohomology , 1972 .

[37]  L. Coburn Singular Integral Operators and Toeplitz Operators on Odd Spheres , 1973 .

[38]  J. Conway Normal Operators on Hilbert Space , 1985 .

[39]  Rudolf Haag,et al.  On the equilibrium states in quantum statistical mechanics , 1967 .

[40]  W. Arveson An Invitation To C*-Algebras , 1976 .

[41]  J. Cuntz K-theory for certain C-algebras , 1981 .

[42]  Benjamin Weiss,et al.  An amenable equivalence relation is generated by a single transformation , 1981, Ergodic Theory and Dynamical Systems.

[43]  Wolfgang Krieger,et al.  A class ofC*-algebras and topological Markov chains , 1980 .

[44]  A. V. Daele An Algebraic Framework for Group Duality , 1998 .

[45]  A. Douady,et al.  Champs continus d’espaces hilbertiens et de $C^\ast $ -algèbres , 1963 .

[46]  J. M. G. Fell,et al.  The structure of algebras of operator fields , 1961 .

[47]  A. Connes,et al.  Classification of Injective Factors Cases II 1 , II ∞ , III λ , λ 1 , 1976 .

[48]  Irving Segal,et al.  A Non-Commutative Extension of Abstract Integration , 1953 .

[49]  Per Enflo,et al.  A counterexample to the approximation problem in Banach spaces , 1973 .

[50]  R. G. Douglas,et al.  Extensions of C*-algebras and K-homology , 1977 .

[51]  J. Pier,et al.  Amenable Locally Compact Groups , 1984 .

[52]  I. Raeburn,et al.  CUNTZ-KRIEGER ALGEBRAS OF DIRECTED GRAPHS , 1998 .

[53]  E. Kirchberg,et al.  Non-simple Purely Innnite C -algebras , 1999 .

[54]  R. Powers Representations of Uniformly Hyperfinite Algebras and Their Associated von Neumann Rings , 1967 .

[55]  B. Blackadar,et al.  Shape theory for $C^*$-algebras. , 1985 .

[56]  J. Mingo,et al.  EQUIVARIANT TRIVIALITY THEOREMS FOR HILBERT C*-MODULES , 1984 .

[57]  境 正一郎 C[*]-algebras and W[*]-algebras , 1973 .

[58]  Philip Green The local structure of twisted covariance algebras , 1978 .

[59]  G. Pedersen,et al.  On the geometry of the unit ball of a C*- algebra. , 1995 .

[60]  J. Villadsen On the stable rank of simple C*-algebras , 1999 .

[61]  R. Kadison IRREDUCIBLE OPERATOR ALGEBRAS. , 1957, Proceedings of the National Academy of Sciences of the United States of America.

[62]  S. Sakai,et al.  On Type I C ∗ -Algebras , 1967 .

[63]  Tensor products and nuclear C*-algebras , 1981 .

[64]  A. Paterson Nuclear *-algebras have amenable unitary groups , 1992 .

[65]  E. Kirchberg On Subalgebras of the Car-Algebra , 1995 .

[66]  Guoliang Yu,et al.  The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space , 2000 .

[67]  Jonathan Rosenberg,et al.  A Selective History of the Stone-von Neumann Theorem , 2003 .

[68]  Alain Connes,et al.  Kac Algebras and Duality of Locally Compact Groups , 1992 .

[69]  L. Terrell Gardner An elementary proof of the Russo-Dye theorem , 1984 .

[70]  Bingren Li,et al.  Real Operator Algebras , 2003 .

[71]  I. M. Gelfand,et al.  On the embedding of normed rings into the ring of operators in Hilbert space , 1987 .

[72]  Alain Connes,et al.  Noncommutative Geometry and Matrix Theory: Compactification on Tori , 1997, hep-th/9711162.

[73]  A Radon-Nikodym theorem for von Neumann algebras , 1998, math/9811122.

[74]  T. Ishihara Harmonic maps of nonorientable surfaces to four-dimensional manifolds , 1993 .

[75]  G. Pedersen Measure Theory for $C^*$ Algebras. , 1969 .

[76]  J. Renault A Groupoid Approach to C*-Algebras , 1980 .

[77]  A. Pears,et al.  Dimension Theory of General Spaces , 1975 .

[78]  C. E. Rickart Banach Algebras With an Adjoint Operation , 1946 .

[79]  M. Kreĭn,et al.  Introduction to the theory of linear nonselfadjoint operators , 1969 .

[80]  Edward G. Effros,et al.  Dimension Groups and Their Affine Representations , 1980 .

[81]  N. Phillips CONTINUOUS–TRACE C*-ALGEBRAS NOT ISOMORPHIC TO THEIR OPPOSITE ALGEBRAS , 2001 .

[82]  Joachim Cuntz,et al.  Dimension functions on simpleC*-algebras , 1978 .

[83]  Characterizations of amenable and strongly amenable $C^{\ast}$-algebras. , 1972 .

[84]  M. Stone On One-Parameter Unitary Groups in Hilbert Space , 1932 .

[85]  R. Kallman Groups of inner automorphisms of von Neumann algebras , 1971 .

[86]  U. Haagerup A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space , 1985 .

[87]  Injective W*-algebras , 1977 .

[88]  G. Pedersen C-Algebras and Their Automorphism Groups , 1979 .

[89]  U. Haagerup Conne’s bicentralizer problem and uniqueness of the injective factor of type III1 , 1987 .

[90]  A. Valette Introduction To The Baum-Connes Conjecture , 2002 .

[91]  G. Pedersen,et al.  Ideal perturbations of elements in $C^*$-Algebras. , 1977 .

[92]  W. Ambrose The $L\sb 2$-system of a unimodular group. I , 1949 .

[93]  F. Rădulescu Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index , 1994 .

[94]  A. S. Amitsur,et al.  Minimal identities for algebras , 1950 .

[95]  H. Wenzl Hecke algebras of type A n and subfactors , 1988 .

[96]  G. Pedersen,et al.  C∗-algebras of real rank zero , 1991 .

[97]  J. Cuntz The structure of multiplication and addition in simple $C^*$-algebras. , 1977 .

[98]  Joachim Cuntz,et al.  SimpleC*-algebra generated by isometries , 1977 .

[99]  J. Neumann Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren , 1930 .

[100]  I. Segal AN EXTENSION OF PLANCHEREL'S FORMULA TO SEPARABLE UNIMODULAR GROUPS , 1950 .

[101]  Dana P. Williams,et al.  Morita Equivalence and Continuous-Trace $C^*$-Algebras , 1998 .

[102]  Marc A. Rieffel,et al.  Induced representations of C∗-algebras , 1974 .

[103]  H. Araki A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field , 1963 .

[104]  F. Shultz,et al.  Geometry Of State Spaces Of Operator Algebras , 2002 .

[105]  Alain Connes,et al.  Noncommutative geometry , 1994 .

[106]  Richard V. Kadison,et al.  Transformations of states in operator theory and dynamics , 1965 .

[107]  George A. Elliott,et al.  On the classification of inductive limits of sequences of semisimple finite-dimensional algebras , 1976 .

[108]  M. Atiyah BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS , 1968 .

[109]  S. Wassermann Tensor Products of Free-Group C* -Algebras , 1990 .

[110]  P. Harpe,et al.  Some groups whose reduced C*-algebra is simple , 1994 .

[111]  M. Landstad,et al.  Duality for dual covariance algebras , 1977 .

[112]  E. Kirchberg Discrete groups with Kazhdan's propertyT and factorization property are residually finite , 1994 .

[113]  On the fundamental group of type II1 factors. , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[114]  Cohomology of operator algebras , 1972 .

[115]  Two finite, non-hyperfinite, non-isomorphic factors , 1963 .

[116]  M. Rieffel,et al.  A BOUNDED OPERATOR APPROACH TO TOMITA-TAKESAKI THEORY , 1977 .

[117]  Steen Thorbjørnsen,et al.  Random matrices and $K$-theory for exact $C^*$-algebras , 1999, Documenta Mathematica.

[118]  M. Takesaki Duality for crossed products and the structure of von Neumann algebras of type III , 1973 .

[119]  V. Bargmann,et al.  On Unitary ray representations of continuous groups , 1954 .

[120]  A Simple C*-Algebra Generated by Two Finite-Order Unitaries , 1979, Canadian Journal of Mathematics.

[121]  Alain Connes,et al.  A Factor Not Anti-Isomorphic to Itself , 1975 .

[122]  J. Fell An extension of Mackey’s method to Banach *-algebraic bundles , 1969 .

[123]  P. Muhly,et al.  On Isometries of Operator Algebras , 1994 .

[124]  P. J. Cohen Factorization in group algebras , 1959 .

[125]  中神 祥臣 Cohomology of Operator Algebras (作用素環の自己同型写像について) , 1972 .

[126]  J. Moffat,et al.  On groups of automorphisms of operator algebras , 1977, Mathematical Proceedings of the Cambridge Philosophical Society.

[127]  J. Villadsen,et al.  Simple C*-Algebras with Perforation , 1998 .

[128]  W. Stinespring Positive functions on *-algebras , 1955 .

[129]  M. Fukamiya On a Theorem of Gelfand and Neumark and the B-Algebra , 1952 .

[130]  Claude L. Schochet Topological methods for C-algebras II: geometric resolutions and the K?unneth formula , 1982 .

[131]  R. Kadison The trace in finite operator algebras , 1961 .

[132]  On Quasidiagonal C*-algebras , 2000, math/0008181.

[133]  Man-Duen Choi THE FULL C* -ALGEBRA OF THE FREE GROUP ON TWO GENERATORS , 1980 .

[134]  J. Feldman,et al.  Separable Representations of Rings of Operators , 1957 .

[135]  Strong NF Algebras INNER QUASIDIAGONALITY AND STRONG NF ALGEBRAS , 2001 .

[136]  G. Hochschild,et al.  On the cohomology groups of an associative algebra , 1945 .

[137]  On a Theorem of Fuglede and Putnam , 1958 .

[138]  L. Vaserstein ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING , 1969 .

[139]  APPLICATIONS OF FUBINI TYPE THEOREM TO THE TENSOR PRODUCTS OF C*-ALGEBRAS , 1967 .

[140]  Amenable actions and exactness for discrete groups , 2000, math/0002185.

[141]  Edward G. Effros,et al.  Dimensions and C*-algebras , 1981 .

[142]  A C*-ALGEBRAIC FRAMEWORK FOR QUANTUM GROUPS , 2003, math/0309338.

[143]  E. Kirchberg,et al.  Generalized inductive limits of finite-dimensional C*-algebras , 1997 .

[144]  Simplcity of the reduced C*-algebra of PSL(n,Z) , 1994 .

[145]  C^*-algebras generated by scaling elements , 2004, math/0404477.

[146]  G. Pedersen,et al.  Multipliers of C∗-algebras☆ , 1973 .

[147]  C. Lance On nuclear C∗-algebras , 1973 .

[148]  S. Stratila,et al.  Modular Theory in Operator Algebras , 1981 .

[149]  G. Kasparov HILBERT C?-MODULES: THEOREMS OF STINESPRING AND VOICULESCU , 1980 .

[150]  E. Effros,et al.  The completely positive lifting problem for C*-algebras , 1976 .

[151]  I. Segal Irreducible representations of operator algebras , 1947 .

[152]  Marc A. Rieffel,et al.  C∗-algebras associated with irrational rotations , 1981 .

[153]  Certain factors constructed as infinite tensor products , 1964 .

[154]  M. Takesaki ON THE CROSS-NORM OF THE DIRECT PRODUCT OF C *-ALGEBRAS , 1964 .

[155]  J. Kustermans,et al.  Locally compact quantum groups , 2000 .

[156]  Amenability of crossed products ofC*-algebras , 1977 .

[157]  S. Woronowicz Twisted SU (2) group. An example of a non-commutative differential calculus , 1987 .

[158]  Generalized Inductive Limits and Quasidiagonality , 2000 .

[159]  E. J. Woods The Classification of Factors is not Smooth , 1973, Canadian Journal of Mathematics.

[160]  Hyman Bass,et al.  K-Theory and stable algebra , 1964 .

[161]  K. Dykema Interpolated free group factors. , 1992, funct-an/9211012.

[162]  Lifting problems and local reflexivity for $C^\ast$-algebras , 1985 .

[163]  Tensor products of operator algebras , 1977 .

[164]  Leopoldo Nachbin,et al.  A theorem of the Hahn-Banach type for linear transformations , 1950 .

[165]  D. Avitzour Free Products of C ∗ -Algebras , 1982 .

[166]  Terry A. Loring,et al.  Lifting solutions to perturbing problems in C*-algebras , 1996 .

[167]  J. Bunce Finite operators and amenable *-algebras , 1976 .

[168]  Derivations on a C∗-algebra and its double dual , 1980 .

[169]  Charles C. Moore Group extensions and cohomology for locally compact groups , 1976 .

[170]  U. Haagerup All nuclearC*-algebras are amenable , 1983 .

[171]  R. Archbold,et al.  Transition probabilities and trace functions for C∗-algebras. , 1993 .

[172]  M. Rieffel Deformation Quantization for Actions of R ]D , 1993 .

[173]  F. J. Yeadon A new proof of the existence of a trace in a finite von Neumann algebra , 1971 .

[174]  S. Sakai ON A CONJECTURE OF KAPLANSKY , 1960 .

[175]  On the full C*-algebras of arithmetic groups and the congruence subgroup problem , 1999 .

[176]  R. Kadison,et al.  Cohomology of operator algebras II. Extended cobounding and the hyperfinite case , 1971 .

[177]  J. Rosenberg,et al.  The structure of crossed productC*-algebras: A proof of the generalized Effros-Hahn conjecture , 1979 .

[178]  U. Haagerup An example of a non nuclearC*-algebra, which has the metric approximation property , 1978 .

[179]  Stable range in C*-algebras , 1980 .

[180]  Mikael Rordam,et al.  A simpleC*-algebra with a finite and an infinite projection , 2002, math/0204339.

[181]  G. Elliott Some C∗-Algebras With Outer Derivations, III , 1977 .

[182]  H. Schröder K-Theory for Real C*-Algebras and Applications , 1993 .

[183]  O. Bratteli,et al.  Reduction of real rank in inductive limits ofC*-algebras , 1992 .

[184]  David Handelman,et al.  Rank functions and K0 of regular rings , 1976 .

[185]  I. I. Ivanchik THEORY OF THE MANY-PARTICLE SYSTEMS. , 1968 .

[186]  H. Wenzl Hecke algebras of typeAn and subfactors , 1988 .

[187]  H. Bass,et al.  Introduction to some methods of algebraic K-theory , 1974 .

[188]  G. Skandalis,et al.  Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres , 1993 .

[189]  N. Higson,et al.  Amenable group actions and the Novikov conjecture , 2000 .

[190]  A CHARACTERIZATION OF C *-ALGEBRAS WHOSE CONJUGATE SPACES ARE SEPARABLE , 1963 .

[191]  Consistency of a counterexample to Naimark's problem. , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[192]  S. Eilers,et al.  Approximate homogeneity is not a local property , 1999 .

[193]  Edwin Hewitt,et al.  Structure of topological groups, integration theory, group representations , 1963 .

[194]  Z. Ruan,et al.  Subspaces of C*-algebras , 1988 .

[195]  L. G. Brown,et al.  Extensions of C*-Algebras and Quasidiagonality , 1996 .

[196]  A theorem on rings of operators , 1951 .

[197]  Barry Johnson Cohomology in Banach Algebras , 1972 .

[198]  V. Paulsen Completely Bounded Maps and Operator Algebras , 2003 .

[199]  Mikael Rørdam,et al.  Extending states on preordered semigroups and the existence of quasitraces on C∗-algebras , 1992 .

[200]  P. Porcelli,et al.  On rings of operators , 1967 .

[201]  A separable quasidiagonal C*-algebra with a non-quasidiagonal quotient by the compact operators , 1991 .

[202]  R. Zimmer Hyperfinite factors and amenable ergodic actions , 1977 .

[203]  Julian Schwinger,et al.  Theory of Many-Particle Systems. I , 1959 .

[204]  L. Harris Banach algebras with involution and Möbius transformations , 1972 .

[205]  R. Gillette,et al.  Banach bundles, Banach modules, and automorphisms of C[*]-algebras , 1983 .

[206]  I. D. Berg,et al.  An extension of the Weyl-von Neumann theorem to normal operators , 1971 .

[207]  R. C. Busby DOUBLE CENTRALIZERS AND EXTENSIONS OF C*-ALGEBRAS , 1968 .

[208]  A. Grothendieck Le groupe de Brauer : I. Algèbres d'Azumaya et interprétations diverses , 1966 .

[209]  Benjamin Weiss,et al.  Ergodic theory of amenable group actions. I: The Rohlin lemma , 1980 .

[210]  J. Nagata,et al.  On rings of continuous functions , 1977 .

[211]  G. Pedersen,et al.  Equivalence and traces on C∗-algebras , 1979 .

[212]  W. L. Paschke Inner Product Modules Over B ∗ -Algebras , 1973 .

[213]  D. Handelman,et al.  Dimension functions and traces on C∗-algebras , 1982 .

[214]  Vaughan F. R. Jones Index for subfactors , 1983 .

[215]  T. Masuda,et al.  A von Neumann Algebra Framework for the Duality of the Quantum Groups , 1994 .

[216]  D. B. Goodner Projections in normed linear spaces , 1950 .

[217]  ON SOME EXTENTION PROPERTIES OF VON NEUMANN ALGEBRAS , 1967 .

[218]  L. Vaserstein,et al.  The stable range of C*-algebras , 1984 .

[219]  A. Kishimoto SIMPLE CROSSED PRODUCTS OF $C^{*}$ -ALGEBRAS BY LOCALLY COMPACT ABELIAN GROUPS , 1980 .

[220]  Man-Duen Choi A schwarz inequality for positive linear maps on $C^{\ast}$-algebras , 1974 .

[221]  A. Connes,et al.  An analogue of the thom isomorphism for crossed products of a C∗ algebra by an action of R , 1981 .

[222]  Claude L. Schochet,et al.  The Künneth theorem and the universal coefficient theorem for Kasparov’s generalized $K$-functor , 1987 .

[223]  G. Pedersen THREE QUAVERS ON UNITARY ELEMENTS IN C -ALGEBRAS , 1989 .

[224]  S. Montgomery,et al.  Group-graded rings, smash products, and group actions , 1984 .

[225]  J. Kustermans,et al.  A Survey of $C^*$-algebraic Quantum Groups, Part I , 1999, Irish Mathematical Society Bulletin.

[226]  A C*-algebra (d for which Ext () is not a group , 1978 .

[227]  James Glimm,et al.  On a certain class of operator algebras , 1960 .

[228]  J. Tomiyama On the difference of n-positivity and complete positivity in C∗-algebras , 1982 .

[229]  Equivariant K Theory for Proper Actions , 1989 .

[230]  Joachim Cuntz,et al.  Dimension Functions on Simple C *-Algebras , 2005 .

[231]  D. Voiculescu A note on quasi-diagonal $C^\ast$-algebras and homotopy , 1991 .

[232]  A. Connes,et al.  Classifying Space for Proper Actions and K-Theory of Group C*-algebras , 2004 .

[233]  G. Kasparov THE OPERATOR K-FUNCTOR AND EXTENSIONS OF C*-ALGEBRAS , 1981 .

[234]  Shuang Zhang A property of purely infinite simple C^*-algebras , 1990 .

[235]  L. Gardner On isomorphisms of C*-algebras , 1965 .

[236]  B. Fuglede A Commutativity Theorem for Normal Operators. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[237]  A new proof of the Amitsur-Levitski identity , 1976 .

[238]  M. Atiyah,et al.  Riemann-Roch theorems for differentiable manifolds , 1959 .

[239]  Jun Tomiyama,et al.  ON THE PROJECTION OF NORM ONE IN W*-ALGEBRAS, III , 1957 .

[240]  Marc A. Rieffel,et al.  Dimension and Stable Rank in the K‐Theory of C*‐Algebras , 1983 .

[241]  G. Elliott Some $C*$-algebras with outer derivations , 1973 .

[242]  J. Wright On some problems of Kaplansky in the theory of rings of operators , 1980 .

[243]  E. Hewitt The Ranges of Certain Convolution Operators. , 1964 .

[244]  J. Cuntz,et al.  Cyclic Homology in Non-Commutative Geometry , 2004 .

[245]  W. L. Paschke,et al.  $C^{\ast}$-algebras associated with free products of groups. , 1979 .

[246]  Y. Nakagami Dual Action on a von Neumann Algebra and Takesaki's Duality for a Locally Compact Group , 1976 .

[247]  L. H. Loomis Note on a theorem of Mackey , 1952 .

[248]  H. Elton Lacey,et al.  The Isometric Theory of Classical Banach Spaces , 1974 .

[249]  И.М. Гельфанд,et al.  On the imbedding of normed rings into the ring of operators in Hilbert space , 1943 .

[250]  T. Fack,et al.  Connes' analogue of the Thom isomorphism for the Kasparov groups , 1981 .

[251]  Pedersen,et al.  Derivations and Multipliers of C ∗ -Algebras , 1976 .

[252]  M. Rieffel Proper Actions of Groups on C*-Algebras , 1991 .

[253]  R. Kadison,et al.  Fundamentals of the Theory of Operator Algebras , 1983 .

[254]  Edward G. Effros,et al.  Injectivity and operator spaces , 1977 .

[255]  Dorte Olesen Derivations of $AW^{\ast}$-algebras are inner. , 1974 .

[256]  R. Douglas,et al.  Modules over operator algebras , 1983 .

[257]  O. Bratteli Derivations, Dissipations and Group Actions on C*-algebras , 1987 .

[258]  H. Radjavi Nonselfadjoint representations of $C^*$-algebras , 1975 .

[259]  S. Sakai A characterization of $W^*$-algebras. , 1956 .

[260]  A. Connes Une classi cation des facteurs de type III , 1973 .

[261]  George W. Mackey,et al.  A theorem of Stone and von Neumann , 1949 .

[262]  Asymptotically Abelian II1-Factors , 1968 .

[263]  G. Pedersen,et al.  MORPHISMS OF EXTENSIONS OF C*-ALGEBRAS : PUSHING FORWARD THE BUSBY INVARIANT , 1999 .

[264]  G. Murphy C*-Algebras and Operator Theory , 1990 .

[265]  D. Mcduff Uncountably Many II1 Factors , 1969 .

[266]  Non-Isomorphic Non-Hyperfinite Factors , 1969, Canadian Journal of Mathematics.

[267]  A. Connes,et al.  Measure space automorphisms, the normalizers of their full groups, and approximate finiteness , 1977 .

[268]  F. Greenleaf,et al.  Invariant means on topological groups and their applications , 1969 .

[269]  Algebraic structures determined by 3 by 3 matrix geometry , 2002 .

[270]  J. Dixmier Les C*-algèbres et leurs représentations .. , 1964 .

[271]  A. Grothendieck,et al.  Produits Tensoriels Topologiques Et Espaces Nucleaires , 1966 .

[272]  L. Vainerman,et al.  Nonunimodular Ring Groups and Hopf-Von Neumann Algebras , 1974 .

[273]  Mikael Rørdam,et al.  Classification of Nuclear, Simple C*-algebras , 2002 .

[274]  W. Stinespring Integration theorems for gages and duality for unimodular groups , 1959 .

[275]  Stan Wagon,et al.  The Banach-Tarski paradox , 1985 .

[276]  R. Kubo Statistical-Mechanical Theory of Irreversible Processes : I. General Theory and Simple Applications to Magnetic and Conduction Problems , 1957 .

[277]  M. Enock Produit croisé d'une algèbre de von Neumann par une algèbre de Kac , 1977 .

[278]  James Glimm,et al.  Type I C ∗ -Algebras , 1961 .

[279]  J. L. Kelley,et al.  Banach spaces with the extension property , 1952 .

[280]  P. Harpe Reduced C*-algebras of discrete groups which are simple with a unique trace , 1985 .

[281]  John von Neumann Die Zerlegung eines Intervalles in abzählbar viele kongruente Teilmengen , 1928 .

[282]  P. Eymard L'algèbre de Fourier d'un groupe localement compact , 1964 .

[283]  H. Dye ON GROUPS OF MEASURE PRESERVING TRANSFORMATIONS. I. , 1959 .

[284]  C. Pasnicu,et al.  REDUCTION OF TOPOLOGICAL STABLE RANK IN INDUCTIVE LIMITS OF C*-ALGEBRAS , 1992 .

[285]  THE EXTENSION PROPERTY OF COMPLEX BANACH SPACES , 1958 .

[286]  Xinhui Hongbing Jiang,et al.  On a simple unital projectionless C*-algebra , 1999 .

[287]  H. Araki Type of von Neumann Algebra Associated with Free Field , 1964 .

[288]  Susan Montgomery,et al.  A duality theorem for Hopf module algebras , 1985 .

[289]  M. Takesaki Introduction to the flow of weights on factors of type III , 1978 .

[290]  C. Anantharaman-Delaroche Amenability and exactness for dynamical systems and their C*-algebras , 2000, math/0005014.

[291]  Wolfgang Krieger On ergodic flows and the isomorphism of factors , 1976 .

[292]  Donald I. Cartwright,et al.  Property (T) and Ã2 groups , 1994 .

[293]  Deux nouveaux facteurs de type II1 , 1969 .

[294]  J. Villadsen Comparison of projections and unitary elements in simple C* -algebras , 2002 .

[295]  M. Rieffel On the uniqueness of the Heisenberg commutation relations , 1972 .

[296]  M. Rieffel,et al.  Stable isomorphism and strong Morita equivalence of $C^*$-algebras. , 1977 .

[297]  M. Rørdam On the structure of simple C∗-algebras tensored with a UHF-algebra, II , 1991 .

[298]  S. Woronowicz FROM MULTIPLICATIVE UNITARIES TO QUANTUM GROUPS , 1996 .

[299]  B. Blackadar A simple *-algebra with no nontrivial projections , 1980 .

[300]  S. Wassermann Exact C*-algebras and related topics , 1994 .

[301]  B. Blackadar,et al.  The Structure of Stable Algebraically Simple C*-Algebras , 1982 .

[302]  Les systemes d'équations lineaires a une infinite d'inconnues , 1915 .

[303]  Maitland Wright Wild AW*‐Factors and Kaplansky‐Rickart Algebras , 1976 .