Rieffel Deformation and Twisted Crossed Products
نویسندگان
چکیده
منابع مشابه
Rieffel Deformation via Crossed Products
We present a refinement of Rieffel Deformation of C∗-algebras. We start from Rieffel data (A,Ψ, ρ), where A is a C∗-algebra, ρ is an action of abelian group Γ on A and Ψ is a 2-cocycle on the dual group. Using Landstad theory of crossed product we get a deformed C∗-algebra A. In case of Γ = R we obtain a very simple proof of invariance of K-groups under the deformation. In any case we get a sim...
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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.
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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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For a twisted partial action Θ of a group G on an (associative nonnecessarily unital) algebra A over a commutative unital ring k, the crossed product A⋊ΘG is proved to be associative. Given a G-graded k-algebra B = ⊕g∈GBg with the mild restriction of homogeneous non-degeneracy, a criteria is established for B to be isomorphic to the crossed product B1⋊ΘG for some twisted partial action of G on ...
متن کاملDiscrete Product Systems and Twisted Crossed Products by Semigroups
A product system E over a semigroup P is a family of Hilbert spaces {Es : s ∈ P} together with multiplications Es×Et → Est. We view E as a unitary-valued cocycle on P , and consider twisted crossed products A⋊β,EP involving E and an action β of P by endomorphisms of a C∗-algebra A. When P is quasi-lattice ordered in the sense of Nica, we isolate a class of covariant representations of E, and co...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2012
ISSN: 1687-0247,1073-7928
DOI: 10.1093/imrn/rns231