The equivariant Brauer groups of commuting free and proper actions are isomorphic
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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.References
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Additional Information
- 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
- MR Author ID: 200378
- Email: dana.williams@dartmouth.edu
- 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 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 809-817
- MSC (1991): Primary 46L05, 46L35
- DOI: https://doi.org/10.1090/S0002-9939-96-03146-2
- MathSciNet review: 1301034