Affiliation:
1. School of Mathematics and Applied Statistics, University of Wollongong, Northfields Ave 2522, Australia
Abstract
For bi-Hilbertian [Formula: see text]-bimodules, in the sense of Kajiwara–Pinzari–Watatani, we construct a Kasparov module representing the extension class defining the Cuntz–Pimsner algebra. The construction utilises a singular expectation which is defined using the [Formula: see text]-module version of the Jones index for bi-Hilbertian bimodules. The Jones index data also determines a novel quasi-free dynamics and KMS states on these Cuntz–Pimsner algebras.
Funder
Australian Research Council
Publisher
World Scientific Pub Co Pte Lt
Subject
Geometry and Topology,Analysis
Cited by
15 articles.
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