Zobrazeno 1 - 10
of 46
pro vyhledávání: '"46L10, 46L54"'
Autor:
Ghosh, Mainak
The operator space generated by peripheral eigenvectors of a unital normal completely positive map $P$ on a von Neumann algebra has a C*-algebra structure. This C*-algebra is known as the \textit{peripheral Poisson boundary} of $P$. For a separable H
Externí odkaz:
http://arxiv.org/abs/2406.11167
Autor:
Ebadian, Ali, Jabbari, Ali
In this paper, we consider Blackadar and Kirchberg's MF algebras. We show that any inner quasidiagonal C-algebra is MF algebra and we generalize Voiculescu's Representation Theorem for a special version of MF algebras. Moreover, we define a weak vers
Externí odkaz:
http://arxiv.org/abs/2207.09203
Autor:
Giorgetti, Luca, Yuan, Wei
Publikováno v:
J. Operator Theory 81 (2019) 433-479
Starting from a (small) rigid C$^*$-tensor category $\mathscr{C}$ with simple unit, we construct von Neumann algebras associated to each of its objects. These algebras are factors and can be either semifinite (of type II$_1$ or II$_\infty$, depending
Externí odkaz:
http://arxiv.org/abs/1712.09311
Autor:
Houdayer, Cyril, Isono, Yusuke
Publikováno v:
Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), 1495-1532
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
Externí odkaz:
http://arxiv.org/abs/1712.01747
Autor:
Boutonnet, Rémi, Houdayer, Cyril
Publikováno v:
Kyoto J. Math. 58, no. 3 (2018), 583-593
We investigate the position of amenable subalgebras in arbitrary amalgamated free product von Neumann algebras $M = M_1 \ast_B M_2$. Our main result states that under natural analytic assumptions, any amenable subalgebra of $M$ that has a large inter
Externí odkaz:
http://arxiv.org/abs/1606.00808
Autor:
Boutonnet, Rémi, Houdayer, Cyril
Publikováno v:
Anal. PDE 9 (2016) 1989-1998
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
Externí odkaz:
http://arxiv.org/abs/1602.01741
Autor:
Houdayer, Cyril, Ueda, Yoshimichi
Publikováno v:
Compositio Math. 152 (2016) 2461-2492
Let $I$ be any nonempty set and $(M_i, \varphi_i)_{i \in I}$ any family of nonamenable factors, endowed with arbitrary faithful normal states, that belong to a large class $\mathcal C_{\rm anti-free}$ of (possibly type III) von Neumann algebras inclu
Externí odkaz:
http://arxiv.org/abs/1507.02157
Autor:
Houdayer, Cyril, Ueda, Yoshimichi
Publikováno v:
Math. Proc. Cambridge Philos. Soc. 161 (2016), 489-516
Let $(M, \varphi) = (M_1, \varphi_1) \ast (M_2, \varphi_2)$ be the free product of any $\sigma$-finite von Neumann algebras endowed with any faithful normal states. We show that whenever $Q \subset M$ is a von Neumann subalgebra with separable predua
Externí odkaz:
http://arxiv.org/abs/1503.02460
Autor:
Houdayer, Cyril, Isono, Yusuke
Publikováno v:
J. London Math. Soc. 92 (2015), 163-177
The main result of this paper is a generalization of Popa's free independence result for subalgebras of ultraproduct ${\rm II_1}$ factors [Po95] to the framework of ultraproduct von Neumann algebras $(M^\omega, \varphi^\omega)$ where $(M, \varphi)$ i
Externí odkaz:
http://arxiv.org/abs/1408.5736
Autor:
Houdayer, Cyril, Raum, Sven
Publikováno v:
Math. Ann. 363 (2015), 237-267
The purpose of this paper is to investigate the structure of Shlyakhtenko's free Araki-Woods factors using the framework of ultraproduct von Neumann algebras. We first prove that all the free Araki-Woods factors $\Gamma(H_{\mathbb R}, U_t)^{\prime \p
Externí odkaz:
http://arxiv.org/abs/1406.6160