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Dense orbits and compactness of groups

Published online by Cambridge University Press:  17 April 2009

W. H. Previts  and
T. S. Wu
W. H. Previts
Affiliation:
Department of Mathematics, Lakeland Community College, 7700 Clocktower Drive, Kirtland OH 44094, United States of America
T. S. Wu
Affiliation:
Department of Methematics, Case Western Reserve University, Cleveland OH 44106, United States of America
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Abstract

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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
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 155 - 159
Copyright
Copyright © Australian Mathematical Society 2003

References

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