38 citations · 38 across the 7 of their papers we have counts for
5 papers · 1 filter
Groups with the fixed-point property
Nicolas Monod, Omer Tamuz, Lizzy Teryoshin
We propose the study of the class of groups that fix a point for every continuous action on any convex compact space. Oliver completed the corresponding program of classifying the…
Inadmissible representations of the tree automorphism group
Nicolas Monod
The automorphism group of a regular locally finite tree is shown to admit irreducible Banach representations that are not admissible. The dense subspace of smooth vectors contains…
A fixed-point theorem for face maps, or deletion-tolerant random finite sets
Tom Hutchcroft, Nicolas Monod, Omer Tamuz
We establish a fixed-point theorem for the face maps that consist in deleting the th entry of an ordered set. Furthermore, we show that there exists random finite sets of intege…
Flatmates and the bounded cohomology of algebraic groups
Nicolas Monod
For all algebraic groups over non-Archimedean local fields, the bounded cohomology vanishes. This follows from the corresponding statement for automorphism groups of Bruhat--Tits b…
Amenable actions, free products and a fixed point property
Yair Glasner, Nicolas Monod
We investigate the class of groups admitting an action on a set with an invariant mean. It turns out that many free products admit such an action. We give a complete characterisati…