Speedups of ergodic group extensions
نویسندگان
چکیده
منابع مشابه
Speedups of ergodic group extensions
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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We classify n-point extensions of ergodic Z-actions up to relative orbit equivalence and establish criteria under which one n-point extension of an ergodic Z-action can be sped up to be relatively isomorphic to an n-point extension of another ergodic Z-action. Both results are characterized in terms of an algebraic object associated to each n-point extension which is a conjugacy class of subgro...
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We classify n-point extensions of ergodic Z-actions up to relative orbit equivalence and establish criteria under which one n-point extension of an ergodic Z-action can be sped up to be relatively isomorphic to an n-point extension of another ergodic Z-action. Both results are characterized in terms of an algebraic object associated to each n-point extension which is a conjugacy class of subgro...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2012
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385712000107