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arXiv · 1112.4406

Speedups of ergodic group extensions

Andrey Babichev·Robert M. Burton·Adam Fieldsteel
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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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Andrey Babichev, Robert M. Burton, Adam Fieldsteel. 2012-03-22. Speedups of ergodic group extensions. https://arxiv.org/abs/1112.4406

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