A Hilbert $C^{*}$-module method for Morita equivalence of twisted crossed products
نویسندگان
چکیده
منابع مشابه
Morita Equivalence of Twisted Crossed Products
We introduce a natural notion of strong Morita equivalence of twisted actions of a locally compact group on C*-algebras, and then show that the corresponding twisted crossed products are strongly Morita equivalent. This result is a generalization of the result of Curto, Muhly and Williams concerning strong Morita equivalence of crossed products by actions.
متن کاملCrossed Products of Locally C-algebras and Morita Equivalence
We introduce the notion of strong Morita equivalence for group actions on locally C-algebras and prove that the crossed products associated with two strongly Morita equivalent continuous inverse limit actions of a locally compact group G on the locally C∗-algebras A and B are strongly Morita equivalent. This generalizes a result of F. Combes, Proc. London Math. Soc. 49(1984) and R. E. Curto, P....
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The Morita equivalence for field theories on noncommutative two-tori is analysed in detail for rational values of the noncommutativity parameter θ (in appropriate units): an isomorphism is established between an abelian noncommutative field theory (NCFT) and a nonabelian theory of twisted fields on ordinary space. We focus on a particular conformal field theory (CFT), the one obtained by means ...
متن کاملC-crossed Products by Twisted Inverse Semigroup Actions
The notions of Busby-Smith and Green type twisted actions are extended to discrete unital inverse semigroups. The connection between the two types, and the connection with twisted partial actions, are investigated. Decomposition theorems for the twisted crossed products are given. 1991 Mathematics Subject Classification. Primary 46L55.
متن کاملInvariant ideals of twisted crossed products
We will prove a result concerning the inclusion of non-trivial invariant ideals inside nontrivial ideals of a twisted crossed product. We will also give results concerning the primeness and simplicity of crossed products of twisted actions of locally compact groups on C∗-algebras. The motivation of this study is our recent research on C-unique groups (or Fourier groups) in [10]. In fact, one in...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1997
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-97-03792-1