Ergodic Theory and Dynamical Systems

Table of Contents - 01 March 1990 - Volume 10, Issue 01  

Research Article

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

Ian F. Putnama1†

a1 Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada, B3H 3J5.

Abstract

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.

(Received October 20 1987)

(Revised February 14 1989)

Footnotes

† Supported in part by NSF grant DMS86-01740 and by NSERC.