Orbit equivalence rigidity and bounded cohomology

Orbit equivalence rigidity and bounded cohomology
复制标题

轨道等效刚度和有界上同调

DOI：
--
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
Y. Shalom
Y. Shalom
中科院分区：
--
文献类型：
--
作者：
N. Monod;Y. Shalom

文献摘要

被引文献

相似文献

利用群表示的有界上同调，我们在可测轨道等价理论中建立了新的结果并引入了新的方法。我们的刚性声明举行了广泛的（不可数）类的群体所产生的负曲率几何。其中我们的应用是（a）可测Mostow型刚性定理的产品负弯曲的群体;（B）素因子分解结果的措施等价;（c）超刚性轨道等价;（d）第一个例子的连续II 1型等价关系平凡外自同构群是相互不稳定同构。
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.