Renault's Equivalence Theorem for Groupoid Crossed Products

Details Renault's Equivalence Theorem for Groupoid Crossed Products Renault's Equivalence Theorem for Groupoid Crossed Products

2007-07-24

arxiv.org/abs/0707.3566v2

New York Journal of Mathematics Monographs, vol 3, SUNY, Albany NY, 2008

Mathematics

Operator Algebras

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

Scientific paper

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.

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