arXiv:2005.02812 Abstract | arXiv Analytics

arXiv:2005.02812 [math.DS]Abstract References Reviews Resources

The Orbital equivalence of Bernoulli actions and their Sinai factors

Published 2020-05-06Version 1

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.

Comments: 42 pages

Categories: math.DS, math.PR

Subjects: 37A40, 37A20, 37A35, 60G09

Keywords: bernoulli actions, sinai factors, orbital equivalence, bernoulli group action, nonsingular bernoulli shifts

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