منابع مشابه
C-crossed Products and Shift Spaces
In this article, we use Exel’s construction to associate a C∗-algebra to every shift space. We show that it has the C∗-algebra defined in [13] as a quotient, and possesses properties indicating that it can be thought of as the universal C∗-algebra associated to a shift space. We also consider its representations, relationship to other C∗-algebras associated to shift spaces, show that it can be ...
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We show that when a co-involutive Hopf C *-algebra S coacts via δ on a C *-algebra A, there exists a full crossed product A × δ S, with universal properties analogous to those of full crossed products by locally compact groups. The dual Hopf C *-algebra is then defined byˆS := C × id S.
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Suppose that G has a representation group H , that Gab := G/[G,G] is compactly generated, and that A is a C∗-algebra for which the complete regularization of Prim(A) is a locally compact Hausdorff space X . In a previous article, we showed that there is a bijection α 7→ (Zα, fα) between the collection of exterior equivalence classes of locally inner actions α : G → Aut(A), and the collection of...
متن کاملCrossed Products of Operator Algebras: Applications of Takai Duality
Let (G,Σ) be an ordered abelian group with Haar measure μ, let (A,G, α) be a dynamical system and let A oα Σ be the associated semicrossed product. Using Takai duality we establish a stable isomorphism Aoα Σ ∼s ( A⊗K(G,Σ, μ) ) oα⊗Ad ρ G, where K(G,Σ, μ) denotes the compact operators in the CSL algebra AlgL(G,Σ, μ) and ρ denotes the right regular representation of G. We also show that there exis...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2020
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2020.124308