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 language | English (US) |
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Pages (from-to) | 1080-1098 |
Number of pages | 19 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 426 |
Issue number | 2 |
DOIs | |
State | Published - Jun 15 2015 |
Keywords
- C-algebra
- Crossed product
- Cuntz-Pimsner algebra
ASJC Scopus subject areas
- Analysis
- Applied Mathematics