Popa Superrigidity and countable Borel equivalence relations

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Abstract

We present some applications of Popa's Superrigidity Theorem to the theory of countable Borel equivalence relations. In particular, we show that the universal countable Borel equivalence relation E is not essentially free.

Original languageEnglish (US)
Pages (from-to)175-189
Number of pages15
JournalAnnals of Pure and Applied Logic
Volume158
Issue number3
DOIs
StatePublished - Apr 1 2009

All Science Journal Classification (ASJC) codes

  • Logic

Keywords

  • 03E15
  • 20K15
  • 37A20
  • Borel equivalence relations
  • Superrigidity

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