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The orbital equivalence of Bernoulli actions and their Sinai factors (2005.02812v3)

Published 6 May 2020 in math.DS and math.PR

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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