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The equivariant Brauer groups of commuting
free and proper actions are isomorphic

Authors: Alexander Kumjian, Iain Raeburn and Dana P. Williams
Journal: Proc. Amer. Math. Soc. 124 (1996), 809-817
MSC (1991): Primary 46L05, 46L35
MathSciNet review: 1301034
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Abstract: If $X$ is a locally compact space which admits commuting free and proper actions of locally compact groups $G$ and $H$, then the Brauer groups $\operatorname{Br}_H(G\backslash X)$ and $\operatorname{Br}_G(X/H)$ are naturally isomorphic.

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Additional Information

Alexander Kumjian
Affiliation: Department of Mathematics, University of Nevada, Reno, Nevada 89557

Iain Raeburn
Affiliation: Department of Mathematics, University of Newcastle, Newcastle, New South Wales 2308, Australia

Dana P. Williams
Affiliation: Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755-3551

Keywords: Crossed product, continuous-trace, $C^*$-algebra, Morita equivalence
Received by editor(s): August 30, 1994
Additional Notes: The third author was partially supported by the National Science Foundation.
This research was supported by the Australian Department of Industry, Science, and Tech- nology.
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society