Article contents
Dense orbits and compactness of groups
Published online by Cambridge University Press: 17 April 2009
Abstract
Using results from topological groups and topological dynamics for locally compact spaces, Aoki has shown that when a group automorphism of a locally compact totally disconnected group is ergodic under the Haar measure, the group is compact. We provide some remarks on Aoki's proof. Also we present a new proof of his result using the structure of locally compact totally disconnected groups established by Willis.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2003
References
- 2
- Cited by