Groups, Actions and von Neumann algebras

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

Autores: Cyril Houdayer, Dimitri Shlyakhtenko, Stefaan Vaes
Publicado en: Journal of the European Mathematical Society, Edición 21/10, 2019, Página(s) 3113-3142, ISSN 1435-9855
Editor: European Mathematical Society Publishing House
DOI: 10.4171/jems/898

Structure of modular invariant subalgebras in free Araki–Woods factors

Autores: Rémi Boutonnet, Cyril Houdayer
Publicado en: Analysis & PDE, Edición 9/8, 2016, Página(s) 1989-1998, ISSN 2157-5045
Editor: Mathematical Sciences Publishers
DOI: 10.2140/apde.2016.9.1989

Strong Solidity of free Araki-Woods factors

Autores: Rémi Boutonnet, Cyril Houdayer, Stefaan Vaes
Publicado en: American Journal of Mathematics, Edición 140/5, 2018, Página(s) 1231-1252, ISSN 1080-6377
Editor: John Hobkins
DOI: 10.1353/ajm.2018.0029

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

Autores: Cyril Houdayer, Yusuke Isono
Publicado en: Communications in Mathematical Physics, Edición 348/3, 2016, Página(s) 991-1015, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-016-2634-7

Spectral gap characterization of full type III factors

Autores: Amine Marrakchi
Publicado en: Journal für die reine und angewandte Mathematik (Crelles Journal), Edición 0/0, 2017, ISSN 0075-4102
Editor: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2016-0071

Solidity of Type III Bernoulli Crossed Products

Autores: Amine Marrakchi
Publicado en: Communications in Mathematical Physics, Edición 350/3, 2017, Página(s) 897-916, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-016-2717-5

Rigidity of free product von Neumann algebras

Autores: Cyril Houdayer, Yoshimichi Ueda
Publicado en: Compositio Mathematica, Edición 152/12, 2016, Página(s) 2461-2492, ISSN 0010-437X
Editor: London Mathematical Society
DOI: 10.1112/S0010437X16007673

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

Autores: Cyril Houdayer, Yusuke Isono
Publicado en: Advances in Mathematics, Edición 305, 2017, Página(s) 402-455, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2016.09.030

Asymptotic structure of free product von Neumann algebras

Autores: CYRIL HOUDAYER, YOSHIMICHI UEDA
Publicado en: Mathematical Proceedings of the Cambridge Philosophical Society, Edición 161/03, 2016, Página(s) 489-516, ISSN 0305-0041
Editor: Cambridge University Press
DOI: 10.1017/S0305004116000396

Fullness of crossed products of factors by discrete groups

Autores: Amine Marrakchi
Publicado en: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020, Página(s) 1-11, ISSN 0308-2105
Editor: The RSE Scotland Foundation
DOI: 10.1017/prm.2019.21

Stability of products of equivalence relations

Autores: Amine Marrakchi
Publicado en: Compositio Mathematica, Edición 154/9, 2018, Página(s) 2005-2019, ISSN 0010-437X
Editor: London Mathematical Society
DOI: 10.1112/S0010437X18007388

Strongly ergodic equivalence relations: spectral gap and type III invariants

Autores: CYRIL HOUDAYER, AMINE MARRAKCHI, PETER VERRAEDT
Publicado en: Ergodic Theory and Dynamical Systems, Edición 39/7, 2019, Página(s) 1904-1935, ISSN 0143-3857
Editor: Cambridge University Press
DOI: 10.1017/etds.2017.108

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

Autores: Cyril Houdayer, Sven Raum
Publicado en: Commentarii Mathematici Helvetici, Edición 94/1, 2019, Página(s) 185-219, ISSN 0010-2571
Editor: Birkhauser Verlag
DOI: 10.4171/cmh/458

Amenable absorption in amalgamated free product von Neumann algebras

Autores: Rémi Boutonnet, Cyril Houdayer
Publicado en: Kyoto Journal of Mathematics, Edición 58/3, 2018, Página(s) 583-593, ISSN 2156-2261
Editor: Duke Math Press
DOI: 10.1215/21562261-2017-0030

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

Autores: Cyril Houdayer, Amine Marrakchi, Peter Verraedt
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición 121, 2019, Página(s) 113-134, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2018.06.018

Strongly ergodic actions have local spectral gap

Autores: Amine Marrakchi
Publicado en: Proceedings of the American Mathematical Society, Edición 146/9, 2018, Página(s) 3887-3893, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/14034

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

Autores: Hiroshi Ando, Uffe Haagerup, Cyril Houdayer, Amine Marrakchi
Publicado en: Mathematische Annalen, 2020, ISSN 0025-5831
Editor: Springer Verlag
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

Autores: Cyril Houdayer, Yusuke Isono
Publicado en: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020, Página(s) 1-38, ISSN 0308-2105
Editor: The RSE Scotland Foundation
DOI: 10.1017/prm.2018.152

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

Autores: Cyril Houdayer, Yusuke Isono
Publicado en: Bulletin of the London Mathematical Society, 2020, ISSN 0024-6093
Editor: Oxford University Press
DOI: 10.1112/blms.12376

Singular MASAs in type III factors and Connes' Bicentralizer Property

Autores: Cyril Houdayer, Sorin Popa
Publicado en: Operator Algebras and Mathematical Physics, 2019, Página(s) 109-122, ISBN 978-4-86497-080-8
Editor: Mathematical Society of Japan
DOI: 10.2969/aspm/08010109

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

Autores: Chifan, Ionut; Das, Sayan; Houdayer, Cyril; Khan, Krishnendu
Publicado en: 2020
Editor: tba

Structure of extensions of free Araki-Woods factors

Autores: Houdayer, Cyril; Trom, Benjamin
Publicado en: 2020
Editor: tba

Stationary characters on lattices of semisimple Lie groups

Autores: Rémi Boutonnet, Cyril Houdayer
Publicado en: 2019
Editor: tba

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