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

Erik Bédos; S. Kaliszewski; John Quigg; David Robertson

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arXiv · 1409.1295

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

Erik Bédos·S. Kaliszewski·John Quigg·David Robertson

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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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Erik Bédos, S. Kaliszewski, John Quigg, David Robertson. 2014-09-04. A new look at crossed product correspondences and associated C*-algebras. https://arxiv.org/abs/1409.1295

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