Skip to main content

Groups, Actions and von Neumann algebras

Publications

Classification of a family of non-almost-periodic free Araki–Woods factors

Author(s): Cyril Houdayer, Dimitri Shlyakhtenko, Stefaan Vaes
Published in: Journal of the European Mathematical Society, Issue 21/10, 2019, Page(s) 3113-3142, ISSN 1435-9855
DOI: 10.4171/jems/898

Structure of modular invariant subalgebras in free Araki–Woods factors

Author(s): Rémi Boutonnet, Cyril Houdayer
Published in: Analysis & PDE, Issue 9/8, 2016, Page(s) 1989-1998, ISSN 2157-5045
DOI: 10.2140/apde.2016.9.1989

Strong Solidity of free Araki-Woods factors

Author(s): Rémi Boutonnet, Cyril Houdayer, Stefaan Vaes
Published in: American Journal of Mathematics, Issue 140/5, 2018, Page(s) 1231-1252, ISSN 1080-6377
DOI: 10.1353/ajm.2018.0029

Bi-Exact Groups, Strongly Ergodic Actions and Group Measure Space Type III Factors with No Central Sequence

Author(s): Cyril Houdayer, Yusuke Isono
Published in: Communications in Mathematical Physics, Issue 348/3, 2016, Page(s) 991-1015, ISSN 0010-3616
DOI: 10.1007/s00220-016-2634-7

Spectral gap characterization of full type III factors

Author(s): Amine Marrakchi
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), Issue 0/0, 2017, ISSN 0075-4102
DOI: 10.1515/crelle-2016-0071

Solidity of Type III Bernoulli Crossed Products

Author(s): Amine Marrakchi
Published in: Communications in Mathematical Physics, Issue 350/3, 2017, Page(s) 897-916, ISSN 0010-3616
DOI: 10.1007/s00220-016-2717-5

Rigidity of free product von Neumann algebras

Author(s): Cyril Houdayer, Yoshimichi Ueda
Published in: Compositio Mathematica, Issue 152/12, 2016, Page(s) 2461-2492, ISSN 0010-437X
DOI: 10.1112/S0010437X16007673

Unique prime factorization and bicentralizer problem for a class of type III factors

Author(s): Cyril Houdayer, Yusuke Isono
Published in: Advances in Mathematics, Issue 305, 2017, Page(s) 402-455, ISSN 0001-8708
DOI: 10.1016/j.aim.2016.09.030

Asymptotic structure of free product von Neumann algebras

Author(s): CYRIL HOUDAYER, YOSHIMICHI UEDA
Published in: Mathematical Proceedings of the Cambridge Philosophical Society, Issue 161/03, 2016, Page(s) 489-516, ISSN 0305-0041
DOI: 10.1017/S0305004116000396

Fullness of crossed products of factors by discrete groups

Author(s): Amine Marrakchi
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020, Page(s) 1-11, ISSN 0308-2105
DOI: 10.1017/prm.2019.21

Stability of products of equivalence relations

Author(s): Amine Marrakchi
Published in: Compositio Mathematica, Issue 154/9, 2018, Page(s) 2005-2019, ISSN 0010-437X
DOI: 10.1112/S0010437X18007388

Strongly ergodic equivalence relations: spectral gap and type III invariants

Author(s): CYRIL HOUDAYER, AMINE MARRAKCHI, PETER VERRAEDT
Published in: Ergodic Theory and Dynamical Systems, Issue 39/7, 2019, Page(s) 1904-1935, ISSN 0143-3857
DOI: 10.1017/etds.2017.108

Locally compact groups acting on trees, the type I conjecture and non-amenable von Neumann algebras

Author(s): Cyril Houdayer, Sven Raum
Published in: Commentarii Mathematici Helvetici, Issue 94/1, 2019, Page(s) 185-219, ISSN 0010-2571
DOI: 10.4171/cmh/458

Amenable absorption in amalgamated free product von Neumann algebras

Author(s): Rémi Boutonnet, Cyril Houdayer
Published in: Kyoto Journal of Mathematics, Issue 58/3, 2018, Page(s) 583-593, ISSN 2156-2261
DOI: 10.1215/21562261-2017-0030

Fullness and Connes' τ invariant of type III tensor product factors

Author(s): Cyril Houdayer, Amine Marrakchi, Peter Verraedt
Published in: Journal de Mathématiques Pures et Appliquées, Issue 121, 2019, Page(s) 113-134, ISSN 0021-7824
DOI: 10.1016/j.matpur.2018.06.018

Strongly ergodic actions have local spectral gap

Author(s): Amine Marrakchi
Published in: Proceedings of the American Mathematical Society, Issue 146/9, 2018, Page(s) 3887-3893, ISSN 0002-9939
DOI: 10.1090/proc/14034

Structure of bicentralizer algebras and inclusions of type $$\mathrm{III}$$III factors

Author(s): Hiroshi Ando, Uffe Haagerup, Cyril Houdayer, Amine Marrakchi
Published in: Mathematische Annalen, 2020, ISSN 0025-5831
DOI: 10.1007/s00208-019-01939-9?wt_mc=internal.event.1.sem.articleautho

Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras

Author(s): Cyril Houdayer, Yusuke Isono
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020, Page(s) 1-38, ISSN 0308-2105
DOI: 10.1017/prm.2018.152

Connes' bicentralizer problem for q‐deformed Araki–Woods algebras

Author(s): Cyril Houdayer, Yusuke Isono
Published in: Bulletin of the London Mathematical Society, 2020, ISSN 0024-6093
DOI: 10.1112/blms.12376

Singular MASAs in type III factors and Connes' Bicentralizer Property

Author(s): Cyril Houdayer, Sorin Popa
Published in: Operator Algebras and Mathematical Physics, 2019, Page(s) 109-122
DOI: 10.2969/aspm/08010109

Examples of property (T) II$_1$ factors with trivial fundamental group

Author(s): Chifan, Ionut; Das, Sayan; Houdayer, Cyril; Khan, Krishnendu
Published in: 2020

Structure of extensions of free Araki-Woods factors

Author(s): Houdayer, Cyril; Trom, Benjamin
Published in: 2020

Stationary characters on lattices of semisimple Lie groups

Author(s): Rémi Boutonnet, Cyril Houdayer
Published in: 2019