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.

References in corpus (3)

• Amenable Invariant Random Subgroups
• Invariant random subgroups of linear groups
• Shift-minimal groups, fixed price 1, and the unique trace property

Cited by in corpus (3)

• Amenable Invariant Random Subgroups
• Representations of infinite dimension orthogonal groups of quadratic forms with finite index
• Invariant random subgroups of groups acting on hyperbolic spaces