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The orbital equivalence of Bernoulli actions and their Sinai factors
Zemer Kosloff, Terry Soo · 2020-05-06 · via math.PR updates on arXiv.org

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.