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

页码：2277 / 2309

页数：33

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