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On the topological stable rank of certain transformation group C*-algebras

Published online by Cambridge University Press:  19 September 2008

Ian F. Putnam
Ian F. Putnam
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada, B3H 3J5.
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Abstract

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We consider the crossed product or transformation group C*-algebras arising from actions of the group of integers on a totally disconnected compact metrizable space. Under a mild hypothesis, we give a necessary and sufficient dynamical condition for the invertibles in such a C*-algebra to be dense. We also examine the property of residual finiteness for such C*-algebras.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 1 , March 1990 , pp. 197 - 207
Copyright
Copyright © Cambridge University Press 1990

References

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