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Epimorphic subgroups and invariant measures

Published online by Cambridge University Press:  14 October 2010

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

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.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1995

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References

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