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Subgroup Correspondences
Published online by Cambridge University Press: 14 August 2018
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.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 4 , November 2018 , pp. 1127 - 1154
- Copyright
- Copyright © Edinburgh Mathematical Society 2018
Footnotes
Dedicated to the memory of Ola Bratteli
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