Topologically free actions and ideals in discrete C*-dynamical systems

Author:

Archbold R. J.,Spielberg J. S.

Abstract

A C*-dynamical system is called topologically free if the action satisfies a certain natural condition weaker than freeness. It is shown that if a discrete system is topologically free then the ideal structure of the crossed product algebra is related to that of the original algebra. One consequence is that a minimal topologically free discrete system has a simple reduced crossed product. Sharper results are obtained when the algebra is abelian.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

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