GROUP ACTIONS ON DENDRITES AND CURVES

被引：12
作者：
Duchesne, Bruno [1 ,2 ]
Monod, Nicolas [3 ]
机构：
[1] Univ Lorraine, Inst Elie Cartan, Nancy, France
[2] CNRS, Nancy, France
[3] Ecole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland
来源：
ANNALES DE L INSTITUT FOURIER | 2018年 / 68卷 / 05期
关键词：
dendrites; groups; rigidity; bounded cohomology; lattices; Tits alternative; dynamics; curves; BOUNDED COHOMOLOGY; ARITHMETIC GROUPS; FREE SUBGROUPS; FIXED-POINT; SPACES; SUPERRIGIDITY;
D O I：
10.5802/aif.3209
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish obstructions for groups to act by homeomorphisms on dendrites. For instance, lattices in higher rank simple Lie groups will always fix a point or a pair. The same holds for irreducible lattices in products of connected groups. Further results include a Tits alternative and a description of the topological dynamics. We briefly discuss to what extent our results hold for more general topological curves.
引用
收藏
页码：2277 / 2309
页数：33
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