Subgroup Correspondences

Steven Kaliszewski, Nadia S. Larsen, John Quigg

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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 languageEnglish (US)
JournalProceedings of the Edinburgh Mathematical Society
DOIs
StateAccepted/In press - Jan 1 2018

Keywords

  • Cuntz-Pimsner algebras
  • C∗-correspondences
  • group C∗-algebras

ASJC Scopus subject areas

  • Mathematics(all)

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