The extension class and KMS states for Cuntz-Pimsner algebras of some bi-Hilbertian bimodules

Author(s)
Rennie, Adam
Robertson, David
Sims, Aidan
Publication Date
2017-06
Abstract
<p>For bi-Hilbertian <i>A</i>-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 <i>C</i>*-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.</p>
Citation
Journal of Topology and Analysis, 9(2), p. 297-327
ISSN
1793-7167
1793-5253
Link
https://hdl.handle.net/1959.11/31869
Language
en
Publisher
World Scientific Publishing Co Pte Ltd
Title
The extension class and KMS states for Cuntz-Pimsner algebras of some bi-Hilbertian bimodules
Type of document
Journal Article
Entity Type
Publication

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