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

Adam Rennie, David Robertson, Aidan Sims

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. T…