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

作者：Duchesne Bruno^*; Glasner Yair; Lazarovich Nir; Lecureux Jean

来源：Geometriae Dedicata, 2015, 175(1): 249-256.

DOI：10.1007/s10711-014-0038-4

• Invariant random subgroups
• CAT(0) spaces
• Geometric density

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.

• 出版日期2015-4