On the bounded cohomology of semi-simple groups, S-arithmetic groups and products

被引：14

作者：

Monod, Nicolas ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2010年 / 640卷

关键词：

DISCRETE SUBGROUPS; RIGIDITY; REPRESENTATIONS; SUPERRIGIDITY; CONJECTURE; HOMOLOGY; CORNERS; THEOREM; RANK;

D O I：

10.1515/CRELLE.2010.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove vanishing results for Lie groups and algebraic groups (over any local field) in bounded cohomology. The main result is a vanishing below twice the rank for semi-simple groups. Related rigidity results are established for S-arithmetic groups and groups over global fields. We also establish vanishing and cohomological rigidity results for products of general locally compact groups and their lattices.

引用

页码：167 / 202

页数：36

共 50 条

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