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arxiv: 1808.05991 · v3 · submitted 2018-08-17 · 🧮 math.DS · math.GR· math.PR

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Bernoulli actions of amenable groups with weakly mixing Maharam extensions

Michael Bj\"orklund , Zemer Kosloff
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classification 🧮 math.DS math.GRmath.PR
keywords actionamenablebernoullimaharammixingweaklyactionsadmits
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We provide a simple criterion for a non-singular and conservative Bernouilli action to have a weakly mixing Maharam extension. As an application, we show that every countable amenable group admits a stable type III_1 Bernoulli action, answering a recent question by Vaes and Wahl.

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