Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Cyril Houdayer"'
Autor:
Cyril Houdayer, Benjamin Trom
Publikováno v:
Annales de l'Institut Fourier. 71:473-514
We investigate the structure of crossed product von Neumann algebras arising from Bogoljubov actions of countable groups on Shlyakhtenko's free Araki-Woods factors. Among other results, we settle the questions of factoriality and Connes' type classif
Autor:
Isaac Goldbring, Cyril Houdayer
We study several model-theoretic aspects of W$^*$-probability spaces, that is, $\sigma$-finite von Neumann algebras equipped with a faithful normal state. We first study the existentially closed W$^*$-spaces and prove several structural results about
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9db55ef7dbc711c71c692c563b7b7b7d
http://arxiv.org/abs/2108.09223
http://arxiv.org/abs/2108.09223
Autor:
Yusuke Isono, Cyril Houdayer
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
We investigate factoriality, Connes' type ${\rm III}$ invariants and fullness of arbitrary amalgamated free product von Neumann algebras using Popa's deformation/rigidity theory. Among other things, we generalize many previous structural results on a
Autor:
Rémi Boutonnet, Cyril Houdayer
Publikováno v:
Publications mathematiques de l' IHES
Publications mathematiques de l' IHES, 2021, ⟨10.1007/s10240-021-00122-8⟩
Publications mathematiques de l' IHES, 2021, ⟨10.1007/s10240-021-00122-8⟩
We show that stationary characters on irreducible lattices $\Gamma < G$ of higher-rank connected semisimple Lie groups are conjugation invariant, that is, they are genuine characters. This result has several applications in representation theory, ope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9659ce7bef3e7a386f6d9682805c509
https://hal.archives-ouvertes.fr/hal-02361533
https://hal.archives-ouvertes.fr/hal-02361533
Publikováno v:
Mathematische Annalen
Autor:
Cyril Houdayer, Yusuke Isono
Publikováno v:
Bulletin of the London Mathematical Society
Let $(H_{\mathbf{R}}, U_t)$ be any strongly continuous orthogonal representation of $\mathbf{R}$ on a real (separable) Hilbert space $H_{\mathbf{R}}$. For any $q\in (-1,1)$, we denote by $\Gamma_q(H_{\mathbf{R}},U_t)^{\prime\prime}$ the $q$-deformed
Autor:
Cyril Houdayer, Yusuke Isono
Publikováno v:
Advances in Mathematics
We show that whenever $m \geq 1$ and $M_1, \dots, M_m$ are nonamenable factors in a large class of von Neumann algebras that we call $\mathcal C_{(\text{AO})}$ and which contains all free Araki-Woods factors, the tensor product factor $M_1 \mathbin{\
Publikováno v:
Ergodic Theory and Dynamical Systems. 41:2879-2880
Autor:
Rémi Boutonnet, Cyril Houdayer
Publikováno v:
Analysis and PDEs
Analysis and PDEs, 2016, 9, pp.1989-1998. 〈10.2140/apde.2016.9.1989〉
Anal. PDE 9, no. 8 (2016), 1989-1998
Analysis & PDE
Analysis & PDE, Mathematical Sciences Publishers, 2016, 9, pp.1989-1998. ⟨10.2140/apde.2016.9.1989⟩
Analysis and PDEs, 2016, 9, pp.1989-1998. ⟨10.2140/apde.2016.9.1989⟩
Analysis and PDEs, 2016, 9, pp.1989-1998. 〈10.2140/apde.2016.9.1989〉
Anal. PDE 9, no. 8 (2016), 1989-1998
Analysis & PDE
Analysis & PDE, Mathematical Sciences Publishers, 2016, 9, pp.1989-1998. ⟨10.2140/apde.2016.9.1989⟩
Analysis and PDEs, 2016, 9, pp.1989-1998. ⟨10.2140/apde.2016.9.1989⟩
We show that any amenable von Neumann subalgebra of any free Araki-Woods factor that is globally invariant under the modular automorphism group of the free quasi-free state is necessarily contained in the almost periodic free summand.
Comment: 9
Comment: 9
Publikováno v:
Journal de Mathématiques Pures et Appliquées
Journal de Mathématiques Pures et Appliquées, Elsevier, 2019, 121, pp.113-134. ⟨10.1016/j.matpur.2018.06.018⟩
Journal de Mathématiques Pures et Appliquées, Elsevier, 2019, 121, pp.113-134. ⟨10.1016/j.matpur.2018.06.018⟩
We show that the tensor product M ⊗ ‾ N of any two full factors M and N (possibly of type III) is full and we compute Connes' invariant τ ( M ⊗ ‾ N ) in terms of τ ( M ) and τ ( N ) . The key novelty is an enhanced spectral gap property fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ccb84625491aef66178fc42211fcf47c
https://hal.archives-ouvertes.fr/hal-03464367
https://hal.archives-ouvertes.fr/hal-03464367