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The extension class and KMS states for Cuntz-Pimsner algebras of some bi-Hilbertian bimodules |
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World Scientific Publishing Co Pte Ltd |
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| DOI |
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10.1142/S1793525317500108 |
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| 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. |
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Journal of Topology and Analysis, 9(2), p. 297-327 |
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