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 | |
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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