256 citations · 944 across the 58 of their papers we have counts for
14 papers · 1 filter
A Chern-Weil Isomorphism for the Equivariant Brauer Group
Peter Bouwknegt, Alan Carey, Rishni Ratnam
In this paper we construct a Chern-Weil isomorphism for the equivariant Brauer group of R^n-actions on a principal torus bundle, where the target for this isomorphism is a "dimensi…
Recent advances in the study of the Equivariant Brauer Group
Peter Bouwknegt, Alan Carey, Rishni Ratnam
In this paper we outline a recent construction of a Chern-Weil isomorphism for the equivariant Brauer group of actions on a principal torus bundle, where the target f…
Families of Type {\rm III KMS} States on a Class of -Algebras containing and
A. L. Carey, J. Phillips, I. F. Putnam +1
We construct a family of purely infinite -algebras, for that are classified by their -groups. There is an action of the circle $\T$ with a uniq…
Integration on locally compact noncommutative spaces
A. Carey, V. Gayral, A. Rennie +1
We present an ab initio approach to integration theory for nonunital spectral triples. This is done without reference to local units and in the full generality of semifinite noncom…
Dirac operators on noncommutative manifolds with boundary
Alan L. Carey, Slawomir Klimek, Krzysztof P. Wojciechowski
We study an example of an index problem for a Dirac-like operator subject to Atiyah-Patodi-Singer boundary conditions on a noncommutative manifold with boundary, namely the quantum…
Twisted cyclic theory, equivariant KK theory and KMS States
Alan L. Carey, Sergey Neshveyev, Ryszard Nest +1
Recently, examples of an index theory for KMS states of circle actions were discovered, \cite{CPR2,CRT}. We show that these examples are not isolated. Rather there is a general fra…