Title

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

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.

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Link to publisher version (DOI)

http://dx.doi.org/10.1016/j.jmaa.2015.01.055