Orbit equivalence rigidity and bounded cohomology
| dc.creator | Monod, Nicolas | |
| dc.creator | Shalom, Yehuda | |
| dc.date | 2007-03-06 | |
| dc.date.accessioned | 2026-07-07T07:50:28Z | |
| dc.date.available | 2026-07-07T07:50:28Z | |
| dc.description | 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. | |
| dc.description | 54 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/0703165 | |
| dc.identifier | http://arxiv.org/abs/math/0703165 | |
| dc.identifier | Ann. of Math. (2) 164 (2006), no. 3, 825--878 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125172 | |
| dc.subject | Group Theory | |
| dc.title | Orbit equivalence rigidity and bounded cohomology | |
| dc.type | text |