The structure of the Brauer group and crossed products of $C_0(X)$-linear group actions on $C_0(X,\mathcal K)$

DOI10.1090/S0002-9947-01-02794-5zbMath0980.46049MaRDI QIDQ2716157

Siegfried Echterhoff, Ryszard Nest

Publication date: 6 June 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectral sequenceČech cohomologybundle structurenoncommutative dynamical systemequivariant Brauer groupcogomology of a complexcontinuous trace \(C^*\)-algebralocally inner actionMoore group cohomologyMoore splitting extensionsplitting central extension

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25)

Related Items (1)

The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)

Cites Work

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