KRIEGER’S TYPE OF NONSINGULAR POISSON SUSPENSIONS AND IDPFT SYSTEMS

Alexandre I. Danilenko, Zemer Kosloff

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Given an infinite countable discrete amenable group Γ, we construct explicitly sharply weak mixing nonsingular Poisson Γ-actions of each Krieger’s type: IIIλ, for λ ∈ [0, 1], and II. The result is new even for Γ = Z. As these Poisson suspension actions are over very special dissipative base, we obtain also new examples of sharply weak mixing nonsingular Bernoulli Γ-actions and infinite direct product of finite type systems of each possible Krieger’s type.

Original languageAmerican English
Pages (from-to)1541-1557
Number of pages17
JournalProceedings of the American Mathematical Society
Volume150
Issue number4
DOIs
StatePublished - 2022

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© 2022 American Mathematical Society

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