A. Carey

发表

On the Witten index in terms of spectral shift functions

F. Gesztesy, A. Carey, D. Potapov, 2014, 1404.0740.

Infinite complex spin groups

A. Carey, J. Palmer, 1989 .

Semi-Finite Noncommutative Geometry and some Applications

J. Phillips, A. Rennie, A. Carey, 2013 .

ASPECTS OF SEMI-FINITE NONCOMMUTATIVE GEOMETRY AND SOME APPLICATIONS

J. Phillips, A. Rennie, A. Carey, 2008 .

Riemann-Roch and index formulae in twisted K-theory

Bai-Ling Wang, A. Carey, 2009, 0909.4848.

Differential Twisted K-theory and Applications

J. Mickelsson, Bai-Ling Wang, A. Carey, 2007, 0708.3114.

Fusion of Symmetric D-Branes and Verlinde Rings

Bai-Ling Wang, A. Carey, 2005, math-ph/0505040.

A Jost–Pais-Type Reduction of Fredholm Determinants and Some Applications

F. Gesztesy, A. Carey, D. Potapov, 2014, Integral Equations and Operator Theory.

Seiberg-Witten-Floer Homology and Gluing Formulae

Bai-Ling Wang, A. Carey, Alan L. Carey, 2002, math/0206047.

The KO-valued spectral flow for skew-adjoint Fredholm operators

A. Rennie, A. Carey, M. Lesch, 2019, 1907.04981.

On the Problem of the Amenability of the Gauge Group

A. Carey, H. Grundling, 2004, math-ph/0401031.

Loop Groups, Anyons and the Calogero–Sutherland Model

A. Carey, E. Langmann, 1998, math-ph/9805010.

The local index formula in semifinite von Neumann algebras II: the even case

J. Phillips, A. Rennie, A. Carey, 2004, math/0411021.

Bundle Gerbes for Chern-Simons and Wess-Zumino-Witten Theories

M. Murray, Bai-Ling Wang, D. Stevenson, 2004, math/0410013.

Spectral flow and Dixmier traces

J. Phillips, A. Carey, F. Sukochev, 2002, math/0205076.

Ju l 2 00 5 THOM ISOMORPHISM AND PUSHFORWARD MAP IN TWISTED K-THEORY

Bai-Ling Wang, A. Carey, 2008 .

Thom isomorphism and push-forward map in twisted K-theory

Bai-Ling Wang, A. Carey, 2005, math/0507414.

Twisted K-Theory and K-Theory of Bundle Gerbes

M. Murray, V. Mathai, D. Stevenson, 2001, hep-th/0106194.

Laughlin arguments in arbitrary dimensions

A. Carey, H. Schulz-Baldes, 2017 .

Holonomy on D-branes

The University of Adelaide, A. Carey, T. U. O. Adelaide, 2002, hep-th/0204199.

The Universal Gerbe, Dixmier–Douady Class, and Gauge Theory

J. Mickelsson, A. Carey, 2001, hep-th/0107207.

BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY

M. Murray, J. Mickelsson, A. Carey, 1997, hep-th/9711133.

Faddeev's anomaly and bundle gerbes

M. Murray, A. Carey, 1996 .

Topological invariance of the homological index

A. Carey, Jens Kaad, 2014, 1402.0475.

Spectral Flow of Monopole Insertion in Topological Insulators

A. Carey, H. Schulz-Baldes, 2019, Communications in Mathematical Physics.

Quantum Group Actions on the Cuntz Algebra

A. Paolucci, A. Carey, R. B. Zhang, 2000 .

Quantum Group Duality and the Cuntz Algebra

A. Paolucci, A. Carey, R. B. Zhang, 1997, q-alg/9705020.

The Dixmier trace and asymptotics of zeta functions

A. Rennie, A. Carey, F. Sukochev, 2006, math/0611629.

Topological Quantum Field Theory and Seiberg-Witten Monopoles

A. Carey, J. Mccarthy, R. B. Zhang, 1995, hep-th/9504005.

Cocycles and representations of groups of CAR type

W. Moran, A. Carey, 1986, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

Inner automorphisms of hyperfinite factors and Bogolinbov transformations

A. Carey, 1984 .

Applications of an algebraic quantization of the electromagnetic field

C. A. Hurst, A. Carey, 1979 .

The spherical phylon group and invariants of the Laplace transform.

M. Murray, P. Jupp, M. Eastwood, 1996, dg-ga/9611011.

Spectral Flow for Nonunital Spectral Triples

J. Phillips, A. Rennie, A. Carey, 2014, Canadian Journal of Mathematics.

An analytic approach to spectral flow in von Neumann algebras

J. Phillips, A. Rennie, A. Carey, 2005, math/0512454.

Spectral flow in Fredholm modules, eta invariants and the JLO cocycle

J. Phillips, A. Carey, 2003, math/0308161.

Quantum Hall Effect on the Hyperbolic Plane

K. Hannabuss, V. Mathai, A. Carey, 1997, dg-ga/9704006.

Workshop: Nichtkommutative Geometrie Table of Contents

M. Rieffel, J. Phillips, A. Rennie, 2006 .

Von Neumann spectra near the spectral gap

J. Phillips, V. Mathai, A. Carey, 1996, dg-ga/9610019.

On Unbounded p-Summable Fredholm Modules☆

J. Phillips, A. Carey, F. Sukochev, 1999, math/9908091.

Higher spectral flow and an entire bivariant JLO cocycle

A. Carey, M. Benameur, 2011, 1108.4528.

Higher bundle gerbes and cohomology classes in gauge theories

M. Murray, A. Carey, B. L. Wang, 1995, hep-th/9511169.

A C∗-algebra formulation of gauge transformations of the second kind for the electromagnetic field

C. A. Hurst, A. Carey, J. Gaffney, 1978 .

Some Infinite-Dimensional Groups and Bundles

A. Carey, 1984 .

On fermion gauge groups, current algebras and Kac-Moody algebras

A. Carey, S. Ruijsenaars, Alan L. Carey, 1987 .

On the Global Limiting Absorption Principle for Massless Dirac Operators

F. Gesztesy, Roger Nichols, A. Carey, 2017, 1711.01029.

Group representations in reproducing kernel Hilbert spaces

A. Carey, 1978 .

Induced representations, reproducing kernels and the conformal group

A. Carey, 1977 .

Multiple phases and return to equilibrium

A. Carey, L. Hume, 1992 .

Riemann surfaces, Clifford algebras and infinite dimensional groups

M. Eastwood, K. Hannabuss, A. Carey, 1990 .

Temperature states on loop groups, Theta functions and the Luttinger model

K. Hannabuss, A. Carey, 1987 .

Projective repesentations of the Hilbert Lie group U (H)2 via quasifree statres on the CAR algebra

A. Carey, 1984 .

Infinite dimensional groups and quantum field theory

A. Carey, 1983 .

Automorphisms of the infinite dimensional clifford algebra and the atiyah-singer mod 2 index

A. Carey, D. M. O’Brien, 1983 .

Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory

J. Phillips, A. Rennie, A. Carey, 2011 .

Modular Index Invariants of Mumford Curves

A. Rennie, M. Marcolli, A. Carey, 2009, 0905.3157.

The massless Thirring model: Positivity of Klaiber'sn-point functions

J. D. Wright, A. Carey, S. N. M. Ruijsenaars, 1985 .

Loop groups and quantum fields

A. Carey, E. Langmann, 2010, 1007.1629.

Holonomy and the Wess-Zumino term

M. Murray, A. Carey, 1986 .

The local index formula in noncommutative geometry revisited

J. Phillips, A. Rennie, A. Carey, 2013 .

The che rn character of semifinit e spectral triples

J. Phillips, A. Rennie, A. Carey, 2008 .

The Chern character of semifinite spectral triples

J. Phillips, A. Rennie, A. Carey, 2006, math/0611227.

Examples of odd index theorems

A. Carey, 2006 .

On the analyticity of the bivariant JLO cocycle

A. Carey, M. Benameur, 2009 .

Infinite dimensional groups and Riemann surface field theories

A. Carey, K. C. Hannabuss, 1996 .

Spectral Flow of Monopole Insertion in Topological Insulators

A. Carey, H. Schulz-Baldes, 2017, Communications in Mathematical Physics.

Institute for Mathematical Physics the Local Index Formula in Semifinite Von Neumann Algebras I: Spectral Flow the Local Index Formula in Semifinite Von Neumann Algebras I: Spectral Flow the Local Index Formula in Semifinite Von Neumann Algebras I: Spectral Flow

J. Phillips, A. Rennie, A. Carey, 2022 .

Index Theory for Locally Compact Noncommutative Geometries

A. Rennie, A. Carey, F. Sukochev, 2011, 1107.0805.

Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra O n

J. Phillips, A. Rennie, A. Carey, 2010 .

Twisted cyclic theory and an index theory for the gauge invariant KMS state on Cuntz algebras

J. Phillips, A. Rennie, A. Carey, 2008, 0801.4605.

Integration on locally compact noncommutative spaces

A. Rennie, A. Carey, F. Sukochev, 2009, 0912.2817.

Twisted cyclic theory, equivariant KK-theory and KMS states

S. Neshveyev, A. Rennie, A. Carey, 2008, 0808.3029.

Unbounded Fredholm Modules and Spectral Flow

J. Phillips, A. Carey, 1998, Canadian Journal of Mathematics.

219 Temperature states on gauge groups

A. Carey, C. K., Hannabuss, 2019 .

A note on the boson-fermion correspondence and infinite dimensional groups

C. A. Hurst, A. Carey, 1985 .

Fermion currents in 1+1 dimensions

C. A. Hurst, A. Carey, D. M. O’Brien, 1983 .

Automorphisms of the Canonical Anticommutation Relations and Index Theory

C. A. Hurst, A. Carey, D. M. O’Brien, 1982 .

A C*-algebra approach to the Schwinger model

C. A. Hurst, A. Carey, 1981 .

Measurable operators and the asymptotics of heat kernels and zeta functions

A. Carey, F. Sukochev, 2012, 1201.3661.

Index Theory, Gerbes, and Hamiltonian Quantization

M. Murray, J. Mickelsson, A. Carey, 1995, hep-th/9511151.

The phylon group and statistics

M. Murray, P. Jupp, A. Carey, 2006 .

The Pompeiu problem for groups

E. Kaniuth, W. Moran, A. Carey, 1991, Mathematical Proceedings of the Cambridge Philosophical Society.

The Universal Gerbe and Local Family Index Theory

Bai-Ling Wang, A. Carey, 2004 .

A C*-algebra formulation of the quantization of the electromagnetic field

C. A. Hurst, A. Carey, J. Gaffney, 1977 .

Quantum Hall Effect on the Hyperbolic Plane in the Presence of Disorder

V. Mathai, A. Carey, K. Hannabus, 1998, math/9804128.

Principal Bundles and the Dixmier Douady Class

M. Murray, A. Carey, D. Crowley, 1997, hep-th/9702147.

String structures and the path fibration of a group

M. Murray, A. Carey, 1991 .

L2 torsion without the determinant class condition and extended L2 cohomology

M. Braverman, M. Farber, V. Mathai, 2004, math/0406222.

Determinant lines, von Neumann algebras and L2 torsion.

M. Farber, V. Mathai, A. Carey, 1996, dg-ga/9610002.

THE GEOMETRIC TRIANGLE FOR 3-DIMENSIONAL SEIBERG WITTEN MONOPOLES

Bai-Ling Wang, M. Marcolli, A. Carey, 1999, math/9907065.

Seiberg-Witten-Floer Homology and Gluing Formulae

Bai-Ling Wang, A. Carey, 2002, math/0206047.

Exact triangles in Seiberg-Witten Floer theory. Part I: the geometric triangle

Bai-Ling Wang, M. Marcolli, A. Carey, 1999 .

Seiberg--Witten Monopoles in Three Dimensions

A. Carey, J. Mccarthy, B. L. Wang, 1997 .

Twistors and geometric quantisation theory

K. Hannabuss, A. Carey, 1978 .

Group actions on C*-algebras, 3-cocycles and quantum field theory

I. Raeburn, A. Carey, H. Grundling, 1995 .

The origin of three-cocycles in quantum field theory

A. Carey, 1987 .

Topological Quantum Field Theory and Seiberg-Witten

A. Carey, B. L. Wang, R. B. Zhang, 1995 .

On index theory for non‐Fredholm operators: A (1 + 1)‐dimensional example

F. Gesztesy, A. Carey, D. Potapov, 2015, 1509.01356.

Finite-dimensional algebraic representations of the infinite phylon group

M. Murray, O. Barndorff-Nielsen, P. Jupp, 1992 .

Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators

A. Carey, D. Potapov, F. Sukochev, 2008, 0807.2129.

Operator Integrals, Spectral Shift, and Spectral Flow

A. Carey, F. Sukochev, P. Dodds, 2007, Canadian Journal of Mathematics.

The Hochschild class of the Chern character for semifinite spectral triples

J. Phillips, A. Rennie, A. Carey, 2003, math/0312073.

O A ] 1 4 M ar 2 00 7 OPERATOR INTEGRALS , SPECTRAL SHIFT AND SPECTRAL FLOW

A. Carey, P. Dodds, N. Azamov, 2007 .

The non-unital version of Connes' theorem on the Hochschild class of the Chern character

A. Rennie, A. Carey, 2018, 1803.02600.

Universal measurability and the Hochschild class of the Chern character

A. Rennie, A. Carey, D. Zanin, 2014, 1401.1860.

Dixmier traces and some applications in non-commutative geometry

A. Carey, F. Sukochev, 2006, math/0608375.

A non-commutative framework for topological insulators

A. Rennie, A. Carey, C. Bourne, 2015, 1509.07210.

The Spectral Shift Function and Spectral Flow

A. Carey, F. Sukochev, N. Azamov, 2007, 0705.1392.

O A ] 8 M ay 2 00 2 SPECTRAL FLOW AND DIXMIER TRACES

J. Phillips, A. Carey, F. Sukochev, 2008 .

Families of type III KMS states on a class of C⁎-algebras containing On and QN

J. Phillips, I. Putnam, A. Rennie, 2011 .

Families of Type {\rm III KMS} States on a Class of $C^*$-Algebras containing $O_n$ and $\mathcal{Q}_\N$

I. Putnam, A. Rennie, A. Carey, 2010, 1001.0424.

Spectral flow invariants and twisted cyclic theory for the Haar state on SUq(2)

A. Rennie, A. Carey, K. Tong, 2008, 0802.0317.

A noncommutative Atiyah-Patodi-Singer index theorem in KK-theory

J. Phillips, A. Rennie, A. Carey, 2007, 0711.3028.

Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in KK-theory

J. Phillips, A. Rennie, A. Carey, 2010 .

OBITUARY MANFRED BREUER

A. Carey, M. Lesch, 2013 .

Spectral flow in Breuer-Fredholm modules

J. Phillips, A. Carey, 1999 .

Quantum Hall Effect and Noncommutative Geometry

K. Hannabuss, V. Mathai, A. Carey, 2000, math/0008115.

Nilpotent groups with $T_{1}$ primitive ideal spaces

W. Moran, A. Carey, 1986 .

Square-integrable representations of non-unimodular groups

A. Carey, A. L. Carey, 1976, Bulletin of the Australian Mathematical Society.

Correspondences, von Neumann Algebras and Holomorphic L 2 Torsion

M. Farber, V. Mathai, A. Carey, 1997, Canadian Journal of Mathematics.

On a conjectured property of the Witten index and an application to Levinson's theorem

A. Carey, G. Levitina, 2023, 2308.06864.

The spectral shift function and the Witten index

F. Gesztesy, A. Carey, F. Sukochev, 2015, 1505.04895.

The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators

Fritz Gesztesy, Roger Nichols, Dmitriy Zanin, 2021, Memoirs of the European Mathematical Society.

The Witten index and the spectral shift function

A. Carey, D. Potapov, F. Sukochev, 2021, Reviews in Mathematical Physics.

Trace Formulas for a Class of non-Fredholm Operators: A Review

F. Gesztesy, A. Carey, D. Potapov, 2016, 1610.04954.

The Bulk-Edge Correspondence for the Quantum Hall Effect in Kasparov Theory

A. Rennie, A. Carey, C. Bourne, 2014, Letters in Mathematical Physics.

L2-torsion invariants

V. Mathai, A. Carey, 1992 .

ON THE RELATIONSHIP OF SPECTRAL FLOW TO THE FREDHOLM INDEX AND ITS EXTENSION TO NON-FREDHOLM OPERATORS

Denis Potapov, Fedor Sukochev, Alan Carey, 2021 .

The product formula for regularized Fredholm determinants

F. Gesztesy, Roger Nichols, A. Carey, 2020, Proceedings of the American Mathematical Society, Series B.

Institute for Mathematical Physics Differential Twisted K-theory and Applications Differential Twisted K-theory and Applications

J. Mickelsson, Bai-Ling Wang, A. Carey, 2022 .

On a conjectured property of the Witten index and an application to Levinson's theorem

A. Carey, G. Levitina, 2023, 2308.06864.

The KO-valued spectral flow for skew-adjoint Fredholm operators

A. Rennie, A. Carey, M. Lesch, 2019, Journal of Topology and Analysis.

The KO-valued spectral flow for skew-adjoint Fredholm operators

A. Rennie, A. Carey, M. Lesch, 2019, 1907.04981.

On the Index of a Non-Fredholm Model Operator

F. Gesztesy, A. Carey, F. Sukochev, 2015, 1509.01580.

ON A SPECTRAL FLOW FORMULA FOR THE HOMOLOGICAL INDEX

A. Carey, H. Grosse, Jens Kaad, 2015, 1501.05453.

Extensions of index theory inspired by quantum scattering theory (17frg668)

A. Carey, 2017 .

Realizing 3‐cocycles as obstructions

C. A. Hurst, A. Carey, E. Langmann, 1995 .

On analytic torsion over C*-algebras

V. Mathai, A. Carey, A. Mishchenko, 1999 .

Degenerate forms of Maxwell's equations

A. Carey, K. McNamara, 1990, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

A Kirillov theory for divisible nilpotent groups

C. Pearce, W. Moran, A. Carey, 1995 .

Dirac Operators on Manifolds and Applications to Physics

A. Rennie, A. Carey, 2018 .

Quantum groups at odd roots of unity and topological invariants of 3-manifolds

A. Carey, Rui-bin Zhang, 1996 .

Some groups with T1 primitive ideal spaces

W. Moran, A. Carey, 1985, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

A discrete model of the integer quantum Hall effect

A. Carey, P. McCann, 1996 .

Non-monomial Multiplier Representations of Abelian Groups

A. Ramsay, L. Baggett, W. Moran, 1991 .

General Existence Theorems for Orthonormal Wavelets, an Abstract Approach

L. Baggett, W. Moran, A. Carey, 1995 .

Motives, quantum field theory, and pseudodifferential operators : Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts

A. Carey, Pseudo-differential Operators, 2010 .

Communications in Mathematical Physics Fusion of Symmetric D-Branes and Verlinde Rings

Bai-Ling Wang, A. Carey, 2007 .

On the relationship of gerbes to the odd families index theorem

Bai-Ling Wang, A. Carey, 2004, math/0407243.