tlooto
Sign up
Open AccessMathematics

An amenable equivalence relation is generated by a single transformation

A. Connes, J. Feldman, B. Weiss

1981.12.1ERGODIC THEORY AND DYNAMICAL SYSTEMS

DOI: 10.1017/s014338570000136x

tlooto Summary

Proves existence of a non-singular transformation generating an amenable equivalence relation.

Abstract

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

Citation format

CONNES, A.; FELDMAN, J.; WEISS, B. An amenable equivalence relation is generated by a single transformation. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1981, 1: 431–450.