P. Caprace

activity

20052026

most citedRank rigidity for CAT(0) cube complexes

161 citations · 918 across the 69 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.GR2022

On compact uniformly recurrent subgroups

Pierre-Emmanuel Caprace, Gil Goffer, Waltraud Lederle +1

Let a group $Γ$ act on a paracompact, locally compact, Hausdorff space $M$ by homeomorphisms and let $2^{M}$ denote the set of closed subsets of $M$ . We endow $2^{M}$ with the Chabauty…

math.GR2022

Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients

Pierre-Emmanuel Caprace, Martin Kassabov

We construct new families of groups with property (T) and infinitely many alternating group quotients. One of those consists of subgroups of $\mathrm{Aut}(\mathbf F_{p}[x_1, \dots,…

math.GR2022★ 1 cited

Hyperbolic actions of higher-rank lattices come from rank-one factors

Uri Bader, Pierre-Emmanuel Caprace, Alex Furman +1

We study actions of higher rank lattices $Γ < G$ on hyperbolic spaces, and we show that all such actions satisfying mild properties come from the rank-one factors of $G$ . In particul…