An amenable equivalence relation is generated by a single transformation

A. Connes, J. Feldman, B. Weiss

Research output: Contribution to journalArticlepeer-review

323 Scopus citations

Abstract

We prove that for any amenable non-singular countable equivalence relation R⊂X×X, there exists a non-singular transformation T of X such that, up to a null set: [Formula omitted] It follows that any two Cartan subalgebras of a hyperfinite factor are conjugate by an automorphism.

Original languageEnglish
Pages (from-to)431-450
Number of pages20
JournalErgodic Theory and Dynamical Systems
Volume1
Issue number4
DOIs
StatePublished - Dec 1981

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