English

Renault's Equivalence Theorem for Reduced Groupoid C*-algebras

Operator Algebras 2010-07-14 v2 Functional Analysis

Abstract

We use the technology of linking groupoids to show that equivalent groupoids have Morita equivalent reduced C*-algebras. This equivalence is compatible in a natural way in with the Equivalence Theorem for full groupoid C*-algebras.

Keywords

Cite

@article{arxiv.1002.3093,
  title  = {Renault's Equivalence Theorem for Reduced Groupoid C*-algebras},
  author = {Aidan Sims and Dana P. Williams},
  journal= {arXiv preprint arXiv:1002.3093},
  year   = {2010}
}

Comments

14 Pages, added references with minor changes to the introduction and the end of section one

R2 v1 2026-06-21T14:47:32.417Z