Twisted cyclic theory, equivariant KK-theory and KMS states

Authors

Alan L. Carey, Australian National University
Sergey Neshveyev, University of Oslo
R Nest, Copenhagen University
Adam Rennie, Australian National UniversityFollow

RIS ID

78203

Publication Details

Carey, A. L., Neshveyev, S., Nest, R. & Rennie, A. (2011). Twisted cyclic theory, equivariant KK-theory and KMS states. Journal fur die reine und angewandte Mathematik, 2011 (650), 161-191.

Abstract

Given a C-algebra A with a KMS weight for a circle action, we construct and compute a secondary invariant on the equivariant K-theory of the mapping cone of AT ,! A, both in terms of equivariant KK-theory and in terms of a semifinite spectral flow. This in particular puts the previously considered examples of Cuntz algebras [10] and SUqð2Þ [14] in a general framework. As a new example we consider the Araki-Woods IIIl representations of the Fermion algebra.