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Epimorphic subgroups and invariant measures

Published online by Cambridge University Press:  14 October 2010

Shahar Mozes
Shahar Mozes
Affiliation:
Department of Mathematics, Hebrew University, Jerusalem 91904 Israel
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Abstract

It is shown that a probability measure on a homogeneous space Γ\G which is invariant under a subgroup H < G which is epimorphic in a subgroup L < G is invariant under L. When L = G we obtain a subgroup H such that for any lattice Γ < G its action on Γ\G is uniquely ergodic.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 6 , December 1995 , pp. 1207 - 1210
Copyright
Copyright © Cambridge University Press 1995

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References

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