Subgroup Correspondences

Steven Kaliszewski; Nadia S. Larsen; John Quigg

doi:10.1017/S0013091518000317

Subgroup Correspondences

Steven Kaliszewski, Nadia S. Larsen, John Quigg

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	1127-1154
Number of pages	28
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	61
Issue number	4
DOIs	https://doi.org/10.1017/S0013091518000317
State	Published - Nov 1 2018

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S0013091518000317

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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.",

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AB - 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.

KW - Cuntz-Pimsner algebras

KW - C∗-correspondences

KW - group C∗-algebras

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Subgroup Correspondences

Abstract

Keywords

ASJC Scopus subject areas

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