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

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. © 1990, Cambridge University Press. All rights reserved.