On characterizations of amenable C*-dynamical systems and new examples

Abstract

We show the equivalence of several amenability type conditions for C*-dynamical systems. As an application, based on the Pimsner--Meyer construction, we give a new method to produce amenable actions on simple C*-algebras.

arXiv comment26 pages, minor revision, to appear in Selecta Mathematica

References in corpus (8)

• Amenable actions and exactness for discrete groups
• Property A and the operator norm localization property for discrete metric spaces
• Strongly self-absorbing C*-dynamical systems
• Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems
• Simple equivariant C*-algebras whose full and reduced crossed products coincide
• Amenability and approximation properties for partial actions and Fell bundles
• Minimal ambient nuclear C*-algebras
• Equivariant ${\mathcal{O}}_2$-absorption theorem for exact groups

Cited by in corpus (3)

• Amenability and approximation properties for partial actions and Fell bundles
• Crossed product splitting of intermediate operator algebras via 2-cocycles
• Amenable actions on ill-behaved simple C*-algebras