Generic non-singular Poisson suspension is of type III1

Alexandre I. Danilenko, Zemer Kosloff, Emmanuel Roy

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

It is shown that for a dense Gδ-subset of the subgroup of non-singular transformations (of a standard infinite σ-finite measure space) whose Poisson suspensions are non-singular, the corresponding Poisson suspensions are ergodic and of Krieger's type III1.

Original languageAmerican English
Pages (from-to)1415-1445
Number of pages31
JournalErgodic Theory and Dynamical Systems
Volume42
Issue number4
DOIs
StatePublished - 5 Apr 2022

Bibliographical note

Publisher Copyright:
© 2021 The Author(s).

Keywords

  • Poisson suspension
  • non-singular ergodic theory
  • orbit equivalence

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