Lifting mixing properties by Rokhlin cocycles
نویسندگان
چکیده
منابع مشابه
Relatively Finite Measure-preserving Extensions and Lifting Multipliers by Rokhlin Cocycles
Dedicated to Stephen Smale in recognition of his contributions to topology and dynamical systems Abstract We show that under some natural ergodicity assumptions extensions given by Rokhlin cocycles lift the multiplier property if the associated locally compact group extension has only countably many L ∞-eigenvalues. We make use of some analogs of basic results from the theory of finite-rank mod...
متن کامل2 3 Se p 20 09 Relatively finite measure - preserving extensions and lifting multipliers by Rokhlin cocycles
Dedicated to Stephen Smale in recognition of his contributions to topology and dynamical systems Abstract We show that under some natural ergodicity assumptions extensions given by Rokhlin cocycles lift the multiplier property if the associated locally compact group extension has only countably many L ∞-eigenvalues. We make use of some analogs of basic results from the theory of finite-rank mod...
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Let T be a measure-preserving and mixing action of a countable abelian group G on a probability space (X, S, μ) and A a locally compact second countable abelian group. A cocycle c : G × X 7−→ A for T disperses if limg→∞ c(g, ·) − α(g) = ∞ in measure for every map α : G −→ A. We prove that such a cocycle c does not disperse if and only if there exists a compact subgroup A0 ⊂ A such that the comp...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2011
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385711000666