Renault's Equivalence Theorem for Groupoid Crossed Products

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.

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

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