Simple C*-crossed products with a unique trace-Reference-Cited by-同舟云学术

Simple C*-crossed products with a unique trace

Published:1996-06 Issue:3 Volume:16 Page:415-429
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Bédos Erik

Abstract

AbstractLet (α, u) denote a cocycle-crossed action of a discrete group G on a unital C*-algebra A, and B = C*r (A, G, α, u) the associated reduced (twisted) C*-crossed product. We discuss the following problem: when is B a simple C*-algebra with a unique trace? To this aim, we introduce the concept of tracially properly outerness of actions.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference33 articles.

1. Twisted group $C^*$-algebras corresponding to nilpotent discrete groups.

2. The crossed product of a UHF algebra by a shift

3. A Remark on Crossed Product of C∗ -Algebras

4. Invitation to C∗-Algebras and Topological Dynamics

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. KMS states on crossed products by abelian groups;MATHEMATICA SCANDINAVICA;2021-11-30

2. Characterizing traces on crossed products of noncommutative C*-algebras;Advances in Mathematics;2021-11

3. On reduced twisted group C*-algebras that are simple and/or have a unique trace;Journal of Noncommutative Geometry;2018-10-30

4. Type III von Neumann algebras associated with 2-graphs;Bulletin of the London Mathematical Society;2012-01-19

5. On simplicity of reduced C*-algebras of groups;Bulletin of the London Mathematical Society;2006-12-21