Renault's Equivalence Theorem for Groupoid Crossed Products

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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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