An amenable equivalence relation is generated by a single transformation

Alain Connes, Jacob J. Feldman, Bernard Weiss

Type: Article

Publication Date: 1981-12-01

Citations: 541

DOI: https://doi.org/10.1017/s014338570000136x

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.

Locations

Ergodic Theory and Dynamical Systems - View - PDF

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