The orbital equivalence of bernoulli actions and their sinai factors

Zemer Kosloff; Terry Soo

doi:10.3934/jmd.2021005

The orbital equivalence of bernoulli actions and their sinai factors

Zemer Kosloff, Terry Soo

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	145-182
Number of pages	38
Journal	Journal of Modern Dynamics
Volume	17
DOIs	https://doi.org/10.3934/jmd.2021005
State	Published - 2021

Bibliographical note

Publisher Copyright:
© 2021 AIMSCIENCES.

Keywords

Amenable group actions
Bernoulli shifts
Factors
Krieger types

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10.3934/jmd.2021005

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title = "The orbital equivalence of bernoulli actions and their sinai factors",

abstract = "Given a countable amenable group G and λ ∈ (0,1), we give an elementary construction of a type-IIIλ 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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doi = "10.3934/jmd.2021005",

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AB - Given a countable amenable group G and λ ∈ (0,1), we give an elementary construction of a type-IIIλ Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.

KW - Amenable group actions

KW - Bernoulli shifts

KW - Factors

KW - Krieger types

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The orbital equivalence of bernoulli actions and their sinai factors

Abstract

Bibliographical note

Keywords

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