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

TL;DR

This paper establishes equivalences among various amenability conditions for C*-dynamical systems and introduces a new method, based on Pimsner--Meyer construction, to generate amenable actions on simple C*-algebras.

Contribution

It proves the equivalence of multiple amenability conditions and presents a novel approach to constructing amenable actions on simple C*-algebras.

Findings

Proved equivalence of several amenability conditions

Developed a new method for producing amenable actions

Applied Pimsner--Meyer construction to simple C*-algebras

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.