161 citations · 918 across the 69 of their papers we have counts for
4 papers · 2 filters
Simple groups without lattices
Uri Bader, Pierre-Emmanuel Caprace, Tsachik Gelander +1
We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know this is the first such example among (compactly generated) simple loca…
Rank rigidity for CAT(0) cube complexes
Pierre-Emmanuel Caprace, Michah Sageev
We prove that any group acting essentially without a fixed point at infinity on an irreducible finite-dimensional CAT(0) cube complex contains a rank one isometry. This implies tha…
Bipolar Coxeter groups
Pierre-Emmanuel Caprace, Piotr Przytycki
We consider the class of those Coxeter groups for which removing from the Cayley graph any tubular neighbourhood of any wall leaves exactly two connected components. We call these…
Simple locally compact groups acting on trees and their germs of automorphisms
Pierre-Emmanuel Caprace, Tom De Medts
Automorphism groups of locally finite trees provide a large class of examples of simple totally disconnected locally compact groups. It is desirable to understand the connections b…