Equivariant Brauer and Picard groups and a Chase-Harrison-Rosenberg exact sequence

Title: Equivariant Brauer and Picard groups and a Chase-Harrison-Rosenberg exact sequence
Creator: Crocker, David; Raeburn, Iain; Williams, Dana P.
Relation: Journal of Algebra Vol. 307, Issue 1, p. 397-408
Publisher Link: http://dx.doi.org/10.1016/j.jalgebra.2006.06.003
Publisher: Academic Press
Resource Type: journal article
Date: 2007
Description: The classical Chase–Harrison–Rosenberg exact sequence relates the Picard and Brauer groups of a Galois extension S of a commutative ring R to the group cohomology of the Galois group. We associate to each action of a locally compact group G on a locally compact space X two groups which we call the equivariant Picard group and the equivariant Brauer group. We then prove an analogue of the Chase– Harrison–Rosenberg exact sequence in the which the roles of the Picard and Brauer groups are played by their equivariant analogues.
Subject: equivariant Brauer group; equivariant Picard group; principal T-bundle
Identifier: http://hdl.handle.net/1959.13/803423
Identifier: uon:6398
Identifier: ISSN:0021-8693
Language: eng
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