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Orbit equivalence rigidity and bounded cohomology

  • Autores: Nicolas Monod, Yehuda Shalom
  • Localización: Annals of mathematics, ISSN 0003-486X, Vol. 164, Nº 3, 2006, págs. 825-878
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We establish new results and introduce new methods in the theory of measurable orbit equivalence, using bounded cohomology of group representations. Our rigidity statements hold for a wide (uncountable) class of groups arising from negative curvature geometry. Amongst our applications are (a) measurable Mostow-type rigidity theorems for products of negatively curved groups; (b) prime factorization results for measure equivalence; (c) superrigidity for orbit equivalence; (d) the first examples of continua of type II1 equivalence relations with trivial outer automorphism group that are mutually not stably isomorphic.


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