Crossed products of $C^*$-algebras by approximately uniformly continous actions.
نویسندگان
چکیده
منابع مشابه
Full Crossed Products by Hopf C∗-algebras
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...
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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 ...
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We introduce the labelling map and the quasi-free action of a locally compact abelian group on a graph C∗-algebra of a row-finite directed graph. Some necessary conditions for embedding the crossed product to an AF algebra are discussed, and one sufficient condition is proved that if the row-finite directed graph is constructed by possibly attaching some 1-loops to a row-finite directed graph w...
متن کاملCrossed Products of Locally C-algebras
The crossed products of locally C-algebras are defined and a Takai duality theorem for inverse limit actions of a locally compact group on a locally C-algebra is proved. 2000 AMS Mathematics subject classification. Primary 46L05, 46L55.
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1979
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11843