An amenable equivalence relation is generated by a single transformation-Reference-Cited by-同舟云学术

An amenable equivalence relation is generated by a single transformation

Published:1981-12 Issue:4 Volume:1 Page:431-450
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Connes A.,Feldman J.,Weiss B.

Abstract

AbstractWe 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:

It follows that any two Cartan subalgebras of a hyperfinite factor are conjugate by an automorphism.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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