Ir al contenido

Documat


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
  • DOI: 10.4007/annals.2006.164.825
  • 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.


Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno