161 citations · 918 across the 69 of their papers we have counts for
6 papers · 1 filter
A lattice in more than two Kac--Moody groups is arithmetic
Pierre-Emmanuel Caprace, Nicolas Monod
Let be an irreducible lattice in a product of n infinite irreducible complete Kac-Moody groups of simply laced type over finite fields. We show that if n is at least 3, then ea…
Decomposing locally compact groups into simple pieces
Pierre-Emmanuel Caprace, Nicolas Monod
We present a contribution to the structure theory of locally compact groups. The emphasis is on compactly generated locally compact groups which admit no infinite discrete quotient…
At infinity of finite-dimensional CAT(0) spaces
Pierre-Emmanuel Caprace, Alexander Lytchak
We show that any filtering family of closed convex subsets of a finite-dimensional CAT(0) space has a non-empty intersection in the visual bordification $ \bar{X} = X \cup \par…
Rank one isometries of buildings and quasi-morphisms of Kac-Moody groups
Pierre-Emmanuel Caprace, Koji Fujiwara
Given an irreducible non-spherical non-affine (possibly non-proper) building , we give sufficient conditions for a group $G < \Aut(X)$ to admit an infinite-dimensional space of…
Isometry groups of non-positively curved spaces: structure theory
P. -E. Caprace, N. Monod
We develop the structure theory of full isometry groups of locally compact non-positively curved metric spaces. Amongst the discussed themes are de Rham decompositions, normal subg…
Some properties of non-positively curved lattices
Pierre-Emmanuel Caprace, Nicolas Monod
We announce results on the structure of CAT(0) groups, CAT(0) lattices and of the underlying spaces. Our statements rely notably on a general study of the full isometry groups of p…