Traces on group extensions and C*-crossed products
نویسندگان
چکیده
منابع مشابه
Crossed Products and Cleft Extensions for Coquasi-hopf Algebras
The notion of crossed product with a coquasi-Hopf algebra H is introduced and studied. The result of such a crossed product is an algebra in the monoidal category of right H-comodules. We give necessary and sufficient conditions for two crossed products to be equivalent. Then, two structure theorems for coquasi Hopf modules are given. First, these are relative Hopf modules over the crossed prod...
متن کاملC-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 ...
متن کاملFull 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.
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.
متن کاملCrossed Products by C 0 (x)-actions
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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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1986
ISSN: 0025-5645
DOI: 10.2969/jmsj/03840739