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

Title
The extension class and KMS states for Cuntz-Pimsner algebras of some bi-Hilbertian bimodules
Publication Date
2017-06
Author(s)
Rennie, Adam
Robertson, David
( author )
OrcID: https://orcid.org/0000-0002-0425-4775
Email: drober54@une.edu.au
UNE Id une-id:drober54
Sims, Aidan
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
World Scientific Publishing Co Pte Ltd
Place of publication
Singapore
DOI
10.1142/S1793525317500108
UNE publication id
une:1959.11/31869
Abstract

For bi-Hilbertian A-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 C*-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.

Link
Citation
Journal of Topology and Analysis, 9(2), p. 297-327
ISSN
1793-7167
1793-5253
Start page
297
End page
327

Files:

NameSizeformatDescriptionLink