Groups, Actions and von Neumann algebras

Project Information

GAN

Grant agreement ID: 637601

DOI

10.3030/637601

Project closed

EC signature date 25 March 2015

Start date 1 April 2015

End date 31 March 2020

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 876 750,00

EU contribution

€ 876 750,00

Coordinated by

UNIVERSITE PARIS-SACLAY
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (19)

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
Publisher: European Mathematical Society Publishing House
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
Publisher: Mathematical Sciences Publishers
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
Publisher: 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

Author(s): Cyril Houdayer, Yusuke Isono
Published in: Communications in Mathematical Physics, Issue 348/3, 2016, Page(s) 991-1015, ISSN 0010-3616
Publisher: Springer Verlag
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
Publisher: Walter de Gruyter GmbH & Co. KG
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
Publisher: Springer Verlag
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
Publisher: London Mathematical Society
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
Publisher: Academic Press
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
Publisher: Cambridge University Press
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
Publisher: The RSE Scotland Foundation
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
Publisher: London Mathematical Society
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
Publisher: 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

Author(s): Cyril Houdayer, Sven Raum
Published in: Commentarii Mathematici Helvetici, Issue 94/1, 2019, Page(s) 185-219, ISSN 0010-2571
Publisher: Birkhauser Verlag
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
Publisher: Duke Math Press
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
Publisher: Elsevier BV
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
Publisher: American Mathematical Society
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
Publisher: 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

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
Publisher: The RSE Scotland Foundation
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
Publisher: Oxford University Press
DOI: 10.1112/blms.12376

Conference proceedings (1)

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, ISBN 978-4-86497-080-8
Publisher: Mathematical Society of Japan
DOI: 10.2969/aspm/08010109

Other (3)

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

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

Structure of extensions of free Araki-Woods factors

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

Stationary characters on lattices of semisimple Lie groups

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