Speedups of ergodic group extensions

Author:

BABICHEV ANDREY,BURTON ROBERT M.,FIELDSTEEL ADAM

Abstract

AbstractWe prove that for all ergodic extensions $S_{1}$ of a transformation by a locally compact second countable group $G$, and for all $G$-extensions $ S_{2} $ of an aperiodic transformation, there is a relative speedup of $ S_{1} $ that is relatively isomorphic to $S_{2}$. We apply this result to give necessary and sufficient conditions for two ergodic $n$-point or countable extensions to be related in this way.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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