Speedups of ergodic group extensions
Abstract
We prove that for all ergodic extensions S1 of a transformation by a locally compact second countable group G, and for all G-extensions S2 of an aperiodic transformation, there is a relative speedup of S1 that is relatively isomorphic to S2. 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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