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arXiv · 1409.8007

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

Bruno Duchesne·Yair Glasner·Nir Lazarovich·Jean Lécureux
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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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Bruno Duchesne, Yair Glasner, Nir Lazarovich, Jean Lécureux. 2014-09-29. Geometric density for invariant random subgroups of groups acting on CAT(0) spaces. https://doi.org/10.1007/s10711-014-0038-4

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