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Title: The equivariant brauer group and twisted transformation group c*-algebras
Authors: Packer, J.A. 
Issue Date: Dec-1999
Citation: Packer, J.A. (1999-12). The equivariant brauer group and twisted transformation group c*-algebras. Illinois Journal of Mathematics 43 (4) : 707-732. ScholarBank@NUS Repository.
Abstract: Twisted transformation group C*-algebras associated to locally compact dynamical systems (X = Y/N, G) are studied, where G is abelian, N is a closed subgroup of G, and Y is a locally trivial principal G-bundle over Z = Y/G. An explicit homomorphism between H2(G, C(X, double-struck T sign)) and the equivariant Brauer group of Crocker, Kumjian, Raeburn and Williams, BrN(Z), is constructed, and this homomorphism is used to give conditions under which a twisted transformation group C*-algebra C0(X) ×τ,ω G will be strongly Morita equivalent to another twisted transformation group C*-algebra C0(Z) ×Id,ω N. These results are applied to the study of twisted group C*-algebras C* (Γ, μ) where Γ is a finitely generated torsion free two-step nilpotent group.
Source Title: Illinois Journal of Mathematics
ISSN: 00192082
Appears in Collections:Staff Publications

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