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

Published online by Cambridge University Press:  20 January 2009

R. J. Archbold  and
J. S. Spielberg
R. J. Archbold
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB9 2TY, Scotland
J. S. Spielberg
Affiliation:
Department of Mathematics, Arizona State University, Tempe, AZ85287, USA
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Abstract

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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 1 , February 1994 , pp. 119 - 124
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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