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

Bruno Duchesne; Yair Glasner; Nir Lazarovich; Jean Lécureux

doi:10.1007/s10711-014-0038-4

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

Bruno Duchesne, Yair Glasner, Nir Lazarovich, Jean Lécureux

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	249-256
Number of pages	8
Journal	Geometriae Dedicata
Volume	175
Issue number	1
DOIs	https://doi.org/10.1007/s10711-014-0038-4
State	Published - 1 Apr 2015

Keywords

CAT(0) spaces
Geometric density
Invariant random subgroups

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s10711-014-0038-4

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title = "Geometric density for invariant random subgroups of groups acting on CAT(0) spaces",

abstract = "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.",

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AU - Glasner, Yair

AU - Lazarovich, Nir

AU - Lécureux, Jean

PY - 2015/4/1

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N2 - 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.

AB - 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.

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KW - Geometric density

KW - Invariant random subgroups

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

Abstract

Keywords

ASJC Scopus subject areas

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