Geometric density for invariant random subgroups of groups acting on CAT(0) spaces Academic Article uri icon


  • 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.

publication date

  • January 1, 2015