Orbit equivalence rigidity and bounded cohomology

We establish new results and introduce new methods in the theory of measurable orbit equivalence. Our rigidity statements hold for a wide (uncountable) class of negatively curved groups. 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.


Published in:
Annals of Mathematics, 164, 3, 825-878
Year:
2006
Laboratories:




 Record created 2008-10-29, last modified 2018-09-13


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