English

Renault's Equivalence Theorem for Groupoid Crossed Products

Operator Algebras 2008-06-05 v2

Abstract

We provide an exposition and proof of Renault's equivalence theorem for crossed products by locally Hausdorff, locally compact groupoids. Our approach stresses the bundle approach, concrete imprimitivity bimodules and is a preamble to a detailed treatment of the Brauer semigroup for a locally Hausdorff, locally compact groupoid.

Keywords

Cite

@article{arxiv.0707.3566,
  title  = {Renault's Equivalence Theorem for Groupoid Crossed Products},
  author = {Paul S. Muhly and Dana P. Williams},
  journal= {arXiv preprint arXiv:0707.3566},
  year   = {2008}
}

Comments

69 pages. Minor changes. Page numbering is different from published version available at http://nyjm.albany.edu:8000/m/2008/3.htm

R2 v1 2026-06-21T09:01:18.895Z