An amenable equivalence relation is generated by a single transformation

Open Access

1 December 1981

journal article
research article
Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems

Vol. 1 (4) , 431-450
https://doi.org/10.1017/s014338570000136x

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.

Keywords

EQUIVALENCE RELATION

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