期刊
JOURNAL OF ALGEBRA
卷 307, 期 1, 页码 397-408出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2006.06.003
关键词
equivariant Brauer group; equivariant Picard group; principal T-bundle
类别
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 ChaseHarrison-Rosenberg exact sequence in the which the roles of the Picard and Brauer groups are played by their equivariant analogues. (C) 2006 Elsevier Inc. All rights reserved.
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