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The equivariant Brauer groups of commuting free and proper actions are isomorphic
Authors:Alexander Kumjian   Iain Raeburn   Dana P. Williams
Affiliation:Department of Mathematics, University of Nevada, Reno, Nevada 89557 ; Department of Mathematics, University of Newcastle, Newcastle, New South Wales 2308, Australia ; Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755-3551
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 $operatorname{Br}_H(Gbackslash X)$ and $operatorname{Br}_G(X/H)$ are naturally isomorphic.

Keywords:Crossed product   continuous-trace   $C^*$-algebra   Morita equivalence
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