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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||URI:||http://scholarbank.nus.edu.sg/handle/10635/104286||ISSN:||00192082|
|Appears in Collections:||Staff Publications|
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