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Twisted cyclic theory, equivariant KK-theory and KMS states

Carey, Alan; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam

Description

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 , 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 [Carey, Phillips, Rennie, Twisted cyclic theory and the modular index theory of Cuntz algebras] and SUq(2) [Carey, Rennie, Tong, J. Geom. Phys. 59: 1431-1452, 2009] in a general...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/66540
Source: Journal fur Reine und Angewandte Mathematik
DOI: 10.1515/CRELLE.2011.007

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