Proceedings of the American Mathematical Society

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

Author(s): Alexander Kumjian; Iain Raeburn; Dana P. Williams
Journal: Proc. Amer. Math. Soc. 124 (1996), 809-817.
MSC (1991): Primary 46L05, 46L35
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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

, then the Brauer groups $\operatorname{Br}_H(G\backslash X)$ and $\operatorname{Br}_G(X/H)$ are naturally isomorphic.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46L05, 46L35

Alexander Kumjian
Affiliation: Department of Mathematics, University of Nevada, Reno, Nevada 89557
Email: alex@math.unr.edu

Iain Raeburn
Affiliation: Department of Mathematics, University of Newcastle, Newcastle, New South Wales 2308, Australia
Email: iain@math.newcastle.edu.au

Dana P. Williams
Affiliation: Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755-3551
Email: dana.williams@dartmouth.edu

DOI: 10.1090/S0002-9939-96-03146-2
PII: S 0002-9939(96)03146-2
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
Copyright of article: Copyright 1996, American Mathematical Society

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