Approximations of stable actions on R-trees

被引：29
|
作者：
Guirardel, V [1 ]
机构：
[1] Universite Paul Sabatier, Lab E Picard, UMR 5580, F-31062 Toulouse, France
来源：
COMMENTARII MATHEMATICI HELVETICI | 1998年 / 73卷 / 01期
关键词：
stable action; R-trees; Rips theorem; approximation; splitting; Bass-Serre;
D O I：
10.1007/s000140050047
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article shows how to approximate a stable action of a finitely presented group on an B-tree by a simplicial one while keeping control over are stabilizers. For instance, every small action of a hyperbolic group on an R-tree can be approximated by a small action of the same group on a simplicial tree. The techniques we use highly rely on Rips's study of stable actions on R-trees and on the dynamical study of exotic components by D. Gaboriau.
引用
收藏
页码：89 / 121
页数：33
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