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

Published 29 Sep 2014 in math.GR and math.MG | (1409.8007v1)

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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