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

Carey, Alan; Rennie, Adam; Tong, K

Description

In [A.L. Carey, J. Phillips, A. Rennie, Twisted cyclic theory and an index theory for the gauge invariant KMS state on Cuntz algebras. arXiv:0801.4605], we presented a K-theoretic approach to finding invariants of algebras with no non-trivial traces. This paper presents a new example that is more typical of the generic situation. This is the case of an algebra that admits only non-faithful traces, namely S Uq (2) and also KMS states. Our main results are index theorems (which calculate spectral...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
URI: http://hdl.handle.net/1885/26467
Source: Journal of Geometry and Physics
DOI: 10.1016/j.geomphys.2009.07.005

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