Geometric density for invariant random subgroups of groups acting on CAT(0) spaces

被引：4

作者：

Duchesne, Bruno ^{[1
]}

Glasner, Yair ^{[2
]}

Lazarovich, Nir ^{[3
]}

Lecureux, Jean ^{[4
]}

机构：

[1] Univ Lorraine, Inst Elie Cartan Lorraine, F-54506 Vandoeuvre Les Nancy, France

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[3] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[4] Univ Paris 11, Dept Math, Fac Sci Orsay, F-91405 Orsay, France

来源：

GEOMETRIAE DEDICATA | 2015年 / 175卷 / 01期

基金：

以色列科学基金会;

关键词：

Invariant random subgroups; CAT(0) spaces; Geometric density; ISOMETRY GROUPS;

D O I：

10.1007/s10711-014-0038-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that an IRS of a group with a geometrically dense action on a CAT(0) space also acts geometrically densely; assuming the space is either of finite telescopic dimension or locally compact with finite dimensional Tits boundary. This can be thought of as a Borel density theorem for IRSs.

引用

页码：249 / 256

页数：8

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