A new look at crossed product correspondences and associated C*-algebras

Authors

Erik Bedos, University of Oslo
S Kaliszewski, University of Newcastle
John C. Quigg, University of ArizonaFollow
David I. Robertson, University of WollongongFollow

RIS ID

98658

Publication Details

Bedos, E., Kaliszewski, S., Quigg, J. C. & Robertson, D. I. (2015). A new look at crossed product correspondences and associated C*-algebras. Journal of Mathematical Analysis and Applications, 426 1080-1098. Journal of Mathematical Analysis and Applications

Abstract

When a locally compact group acts on a C*-correspondence, it also acts on the associated Cuntz-Pimsner algebra in a natural way. Hao and Ng have shown that when the group is amenable the Cuntz-Pimsner algebra of the crossed product correspondence is isomorphic to the crossed product of the Cuntz-Pimsner algebra. In this paper, we have a closer look at this isomorphism in the case where the group is not necessarily amenable. We also consider what happens at the level of Toeplitz algebras.