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Invariant measures of groups of homeomorphisms and Auslander's conjecture

Published online by Cambridge University Press:  14 October 2010

Shmuel Friedland
Shmuel Friedland
Affiliation:
Department of Mathematics, Statistics and Computer Science (M/C 249), University of Illinois at Chicago, 851 South Morgan Street, Chicago, Illinois 60607-7045, USA
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Abstract

We give sufficient conditions for a group of homeomorphisms of a compact Hausdorff space to have an invariant probability measure. For a complex projective space CPn we give a necessary condition for a subgroup of Aut(CPn) to have an invariant probability measure. We discuss two approaches to Auslander's conjecture.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 6 , December 1995 , pp. 1075 - 1089
Copyright
Copyright © Cambridge University Press 1995

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