5 citations · 7 across the 2 of their papers we have counts for
5 papers
Coarse amenability at infinity
Thibault Pillon
We define two different weakenings of coarse amenability (also known as Yu's property A), namely fibred coarse amenability and coarse amenability at infinity. These two properties…
The Burnside problem for locally compact groups
Thibaut Dumont, Thibault Pillon
Using topological notions of translation-like actions introduced by Schneider, we give a positive answer to a geometric version of Burnside problem for locally compact group. The m…
Irreducible affine isometric actions on Hilbert spaces
Bachir Bekka, Thibault Pillon, Alain Valette
We undertake a systematic study of irreducible affine isometric actions of locally compact groups on Hilbert spaces. It turns out that, while that are a few parallels of this study…
The Haagerup property is not invariant under quasi-isometry
Mathieu Carette, Kevin Whyte, Sylvain Arnt +2
Using the work of Cornulier-Valette and Whyte (see Appendix A for the latter), we show that neither the Haagerup property nor weak amenability is invariant under quasi-isometry of…
compression of some HNN extensions
Pierre-Nicolas Jolissaint, Thibault Pillon
Using recent developments on locally compact groups, we are able to obtain quantitative results on embeddings into Lebesgue spaces for a large class of HNN extensions.