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

Kumjian, Alexander; Raeburn, Iain; Williams, Dana

doi:10.1090/S0002-9939-96-03146-2

The equivariant Brauer groups of commuting free and proper actions are isomorphic
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by Alexander Kumjian, Iain Raeburn and Dana P. Williams PDF

Proc. Amer. Math. Soc. 124 (1996), 809-817 Request permission

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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