The orbital equivalence of Bernoulli actions and their Sinai factors

Zemer Kosloff; Terry Soo

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arXiv · 2005.02812

The orbital equivalence of Bernoulli actions and their Sinai factors

Zemer Kosloff·Terry Soo

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Abstract

Given a countable amenable group G and 0 < L < 1, we give an elementary construction of a type-III:L Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.

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Zemer Kosloff, Terry Soo. 2020-05-06. The orbital equivalence of Bernoulli actions and their Sinai factors. https://arxiv.org/abs/2005.02812

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