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Paul S. Muhly and Dana P. Williams
Renault's Equivalence Theorem for groupoid crossed products
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| Published: |
June 4, 2008
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| Keywords: |
Morita equivalence, groupoid dynamical system, groupoid crossed product, imprimitivity theorem, disintegration theorem, groupoid equivalence |
| Subject: |
Primary: 46L55, 46L05; Secondary: 22D25 |
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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.
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| Author information
Paul S. Muhly:
Department of Mathematics, University of Iowa, Iowa City, IA 52242
pmuhly@math.uiowa.edu
Dana P. Williams:
Department of Mathematics, Dartmouth College, Hanover, NH 03755-3551
dana.williams@dartmouth.edu
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