The orbital equivalence of bernoulli actions and their sinai factors

Zemer Kosloff, Terry Soo

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageAmerican English
Pages (from-to)145-182
Number of pages38
JournalJournal of Modern Dynamics
Volume17
DOIs
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2021 AIMSCIENCES.

Keywords

  • Amenable group actions
  • Bernoulli shifts
  • Factors
  • Krieger types

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