S Popa, S Vaes - Journal für die reine und angewandte Mathematik …, 2014 - degruyter.com
We prove that for any free ergodic probability measure preserving action Γ→(X, μ) of a non- elementary hyperbolic group, or a lattice in a rank one simple Lie group, the associated …
I Chifan, T Sinclair - Annales scientifiques de l'École normale …, 2013 - numdam.org
R.–Ozawa a montré dans [21] que, pour un groupe cci hyperbolique, le facteur de type II1 associé est solide. En devéloppant une nouvelle approche, qui combine les méthodes de …
A Ioana - Proceedings of the International Congress of …, 2018 - World Scientific
We survey some of the progress made recently in the classification of von Neumann algebras arising from countable groups and their measure preserving actions on probability …
Given a countable group $ G $, let ${\rm L}(G) $ denote its von Neumann algebra. For a wide class of ICC groups with Kazhdan's property (T), we confirm a conjecture of VFR Jones …
V Lafforgue - Journal of Noncommutative Geometry, 2012 - ems.press
Cet article montre la conjecture de Baum–Connes à coefficients pour les groupes hyperboliques. Plus précisément l'injectivité de l'application de Baum–Connes a été établie …
A Ioana - arXiv preprint arXiv:1212.0453, 2012 - arxiv.org
In this talk, I will survey recent progress made on the classification of von Neumann algebras arising from countable groups and their actions on probability spaces. In particular, I will …
A Freslon - Journal of Functional Analysis, 2013 - Elsevier
We prove that the free orthogonal and free unitary quantum groups FO N+ and FU N+ are weakly amenable and that their Cowling–Haagerup constant is equal to 1. This is achieved …
I Chifan, T Sinclair, B Udrea - Advances in Mathematics, 2013 - Elsevier
This paper contains a series of structural results for von Neumann algebras arising from measure preserving actions by product groups on probability spaces. Expanding upon the …