Freeness of actions of finite groups on C*-algebras

Details Freeness of actions of finite groups on C*-algebras Freeness of actions of finite groups on C*-algebras

2009-02-27

arxiv.org/abs/0902.4891v1

Mathematics

Operator Algebras

40 pages; AMSLaTeX. Submitted to the proceedings of the workshop "Operator Structures and Dynamical Systems", Leiden, July 200

Scientific paper

We describe some of the forms of freeness of group actions on noncommutative C*-algebras that have been used, with emphasis on actions of finite groups. We give some indications of their strengths, weaknesses, applications, and relationships to each other. The properties discussed include the Rokhlin property, K-theoretic freeness, the tracial Rokhlin property, pointwise outerness, saturation, hereditary saturation, and the requirement that the strong Connes spectrum be the entire dual.

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