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An amenable equivalence relation is generated by a single transformation

  • A. Connes (a1), J. Feldman (a2) and B. Weiss (a3)
Abstract
Abstract

We prove that for any amenable non-singular countable equivalence relation RX×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.

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References
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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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