English

Subgroup correspondences

Operator Algebras 2018-01-22 v3

Abstract

For a closed subgroup of a locally compact group the Rieffel induction process gives rise to a CC^*-correspondence over the CC^*-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.

Keywords

Cite

@article{arxiv.1612.04243,
  title  = {Subgroup correspondences},
  author = {S. Kaliszewski and Nadia S. Larsen and John Quigg},
  journal= {arXiv preprint arXiv:1612.04243},
  year   = {2018}
}

Comments

a few minor changes

R2 v1 2026-06-22T17:22:27.338Z