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On Herman's theorem for ergodic, amenable group extensions of endomorphisms

Published online by Cambridge University Press:  18 October 2004

JON AARONSON  and
BENJAMIN WEISS
JON AARONSON
Affiliation:
School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel (e-mail: aaro@math.tau.ac.il)
BENJAMIN WEISS
Affiliation:
Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel (e-mail: weiss@math.huji.ac.il)
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Abstract

For any ergodic endomorphism of a non-atomic probability space and any Borel generating set of a locally compact Polish (LCP) amenable group, we construct a measurable function taking values in the generating set so that the skew product generated is ergodic.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 5 , October 2004 , pp. 1283 - 1293
Copyright
© 2004 Cambridge University Press

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