For a closed subgroup of a locally compact group the Rieffel induction process gives rise to a C∗-correspondence over the C∗-algebra of the subgroup. We study the associated Cuntz-Pimsner algebra and show that, by varying the subgroup to be open, compact, or discrete, there are connections with the Exel-Pardo correspondence arising from a cocycle, and also with graph algebras.
|Original language||English (US)|
|Number of pages||28|
|Journal||Proceedings of the Edinburgh Mathematical Society|
|State||Published - Nov 1 2018|
- Cuntz-Pimsner algebras
- group C∗-algebras
ASJC Scopus subject areas