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Twisted K-Theory and K-Theory of Bundle Gerbes

- P. Bouwknegt, A. Carey, V. Mathai, M. Murray, D. Stevenson
- Mathematics, Physics
- 21 June 2001

Abstract: In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to… Expand

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

- A. Carey, S. Ruijsenaars
- Mathematics
- 1 September 1987

Representations of groups of loops in U(N), SO(N) and various subgroups are studied. The representations are defined on fermion Fock spaces, and may be regarded as local gauge groups in the context… Expand

Spectral flow and Dixmier traces

- A. Carey, J. Phillips, F. Sukochev
- Mathematics
- 8 May 2002

Abstract We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the heat operator in a general semi-finite von Neumann… Expand

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

- A. Carey, Bai-Ling Wang
- Mathematics, Physics
- 21 July 2005

We establish the Thom isomorphism in twisted K-theory for any real vector bundle and develop the push-forward map in twisted K-theory for any differentiable proper map $f: X\to Y$ (not necessarily… Expand

Index Theory for Locally Compact Noncommutative Geometries

- A. Carey, V. Gayral, A. Rennie, F. Sukochev
- Mathematics
- 5 July 2011

Introduction Pseudodifferential calculus and summability Index pairings for semifinite spectral triples The local index formula for semifinite spectral triples Applications to index theorems on open… Expand

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

- A. Carey, J. Phillips
- Mathematics
- 18 August 2003

We give a comprehensive account of an analytic approach to spectral flow along paths of self-adjoint Breuer-Fredholm operators in a type $I_{\infty}$ or $II_\infty$ von Neumann algebra ${\mathcal… Expand

Holonomy on D-branes

- A. Carey, Stuart Johnson, Michael K. Murray Australian National University, T. U. O. Adelaide
- Physics, Mathematics
- 24 April 2002

Abstract This paper shows how to construct anomaly free world sheet actions in string theory with D-branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geometric objects… Expand

The Dixmier trace and asymptotics of zeta functions

- A. Carey, A. Rennie, A. Sedaev, F. Sukochev
- Mathematics
- 21 November 2006

Abstract We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the trace of the heat semigroup. We prove our results in… Expand

Quantum Hall Effect on the Hyperbolic Plane

- A. Carey, K. Hannabuss, V. Mathai, P. McCann
- Mathematics, Physics
- 10 April 1997

Abstract:In this paper, we study both the continuous model and the discrete model of the Quantum Hall Effect (QHE) on the hyperbolic plane. The Hall conductivity is identified as a geometric… Expand

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