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Speedups of ergodic group extensions
Published online by Cambridge University Press: 01 May 2012
Abstract
We 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.
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- Research Article
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- Copyright © 2012 Cambridge University Press
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