activity
20032023
most citedGroups of piecewise projective homeomorphisms

98 citations · 841 across the 52 of their papers we have counts for

collaborators

61 papers

math.GR2023

A family of exotic group C*-algebras

Maria Gerasimova, Nicolas Monod

We show that a large family of groups without non-abelian free subgroups satisfy the following strengthening of non-amenability: they each have a rich supply of irreducible represe…

math.GR2023

Lie groups in the symmetric group: reducing Ulam's problem to the simple case

Annalisa Conversano, Nicolas Monod

Ulam asked whether all Lie groups can be represented faithfully on a countable set. We establish a reduction of Ulam's problem to the case of simple Lie groups. In particular, we s…

math.GR2023

Some comments on piecewise-projective groups of the line

Nicolas Monod

We consider groups of piecewise-projective homeomorphisms of the line which are known to be non-amenable using notably the Carriere--Ghys theorem on ergodic equivalence relations.…

math.GR2023

Asymptotic Cohomology and Uniform Stability for Lattices in Semisimple Groups

Lev Glebsky, Alexander Lubotzky, Nicolas Monod +1

It is, by now, classical that lattices in higher rank semisimple groups have various rigidity properties. In this work, we add another such rigidity property to the list: uniform s…

math.GR2022★ 1 cited

Between free and direct products of groups

Maxime Gheysens, Nicolas Monod

We investigate the group obtained by gluing together two groups and at the neutral element. This construction curiously shares some properties with the free prod…

math.GR2021★ 3 cited

Lamplighters and the bounded cohomology of Thompson's group

Nicolas Monod

We prove the vanishing of the bounded cohomology of lamplighter groups for a wide range of coefficients. This implies the same vanishing for a number of groups with self-similarity…