Geodesic
Orbit equivalence rigidity and bounded cohomology
Nicolas Monod1 ; Yehuda Shalom2
1 Department of Mathematics, University of Chicago, Chicago, IL 60637, United States
2 School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
Annals of mathematics, Tome 164 (2006) no. 3, pp. 825-878.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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 $II_1$ equivalence relations with trivial outer automorphism group that are mutually not stably isomorphic.
DOI : 10.4007/annals.2006.164.825

Nicolas Monod 1 ; Yehuda Shalom 2

1 Department of Mathematics, University of Chicago, Chicago, IL 60637, United States
2 School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel 
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Nicolas Monod; Yehuda Shalom. Orbit equivalence rigidity and bounded cohomology. Annals of mathematics, Tome 164 (2006) no. 3, pp. 825-878. doi : 10.4007/annals.2006.164.825. http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.164.825/

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