26 citations · 33 across the 4 of their papers we have counts for
4 papers
Cocycle superrigidity from higher rank lattices to
Vincent Guirardel, Camille Horbez, Jean Lécureux
We prove a rigidity result for cocycles from higher rank lattices to and more generally to the outer automorphism group of a torsion-free hyperbolic group. More…
Amenable Invariant Random Subgroups
Uri Bader, Bruno Duchesne, Jean Lecureux
We show that an amenable Invariant Random Subgroup of a locally compact second countable group lives in the amenable radical. This answers a question raised in the introduction of…
Geometric density for invariant random subgroups of groups acting on CAT(0) spaces
Bruno Duchesne, Yair Glasner, Nir Lazarovich +1
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…
Combinatorial and group-theoretic compactifications of buildings
Pierre-Emmanuel Caprace, Jean Lecureux
Let X be a building of arbitrary type. A compactification of the set Res(X) of spherical residues of X is introduced. We prove that it coincides with the horofunction comp…