[图书][B] 3-manifold groups

M Aschenbrenner, S Friedl, H Wilton - 2015 - ems.press
The topic of this book is 3-manifold groups, that is, fundamental groups of compact 3-
manifolds. This class of groups sits between the class of fundamental groups of surfaces …

Unique Cartan decomposition for II1 factors arising from arbitrary actions of hyperbolic groups

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 …

On the structural theory of  factors of negatively curved groups

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 …

Rigidity for von Neumann algebras

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 …

Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms

I Chifan, A Ioana, D Osin, B Sun - arXiv preprint arXiv:2304.07457, 2023 - arxiv.org
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 …

3-manifold groups

M Aschenbrenner, S Friedl, H Wilton - arXiv preprint arXiv:1205.0202, 2012 - arxiv.org
arXiv:1205.0202v3 [math.GT] 24 Apr 2013 Page 1 arXiv:1205.0202v3 [math.GT] 24 Apr 2013
3-MANIFOLD GROUPS MATTHIAS ASCHENBRENNER, STEFAN FRIEDL, AND HENRY …

La conjecture de Baum–Connes à coefficients pour les groupes hyperboliques

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 …

Classification and rigidity for von Neumann algebras

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 …

[HTML][HTML] Examples of weakly amenable discrete quantum groups

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 …

[HTML][HTML] On the structural theory of II1 factors of negatively curved groups, II: Actions by product groups

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 …