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

Erik Bédos, Steven Kaliszewski, John Quigg, David Robertson

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1080-1098
Number of pages19
JournalJournal of Mathematical Analysis and Applications
Volume426
Issue number2
DOIs
StatePublished - Jun 15 2015

Keywords

  • C-algebra
  • Crossed product
  • Cuntz-Pimsner algebra

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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