Zobrazeno 1 - 10 of 58 pro vyhledávání: '"Dimitri Shlyakhtenko"'
3
Von Neumann algebras of sofic groups with β(2)1=0 are strongly 1-bounded
Autor: Dimitri Shlyakhtenko
Publikováno v: Journal of Operator Theory, vol 85, iss 1
Author(s): Shlyakhtenko, Dimitri | Abstract: We show that if $\Gamma$ is an infinite finitely generated finitely presented sofic group with zero first $L^{2}$ Betti number then the von Neumann algebra $L(\Gamma)$ is strongly $1$-bounded in the sense
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2785b745e621a123125db65be3c93963
https://escholarship.org/uc/item/0wk614hb
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4
Duality for optimal couplings in free probability
Autor: Wilfrid Gangbo, David Jekel, Kyeongsik Nam, Dimitri Shlyakhtenko
We study the free probabilistic analog of optimal couplings for the quadratic cost, where classical probability spaces are replaced by tracial von Neumann algebras, and probability measures on $\mathbb{R}^m$ are replaced by non-commutative laws of $m
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c010d6ef961b8546956924bea533824
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5
Classification of regular subalgebras of the hyperfinite II(1 )factor
Autor: Stefaan Vaes, Sorin Popa, Dimitri Shlyakhtenko
We prove that the regular von Neumann subalgebras $B$ of the hyperfinite II_1 factor $R$ satisfying the condition $B'\cap R=Z(B)$ are completely classified (up to conjugacy by an automorphism of $R$) by the associated discrete measured groupoid $G$.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41d95418ccb804ac9d67a8fe0d6eee11
https://lirias.kuleuven.be/handle/123456789/658823
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7
Classification of a family of non-almost-periodic free Araki–Woods factors
Autor: Stefaan Vaes, Cyril Houdayer, Dimitri Shlyakhtenko
Publikováno v: Journal of the European Mathematical Society, vol 21, iss 10
Houdayer, C; Shlyakhtenko, D; & Vaes, S. (2016). Classification of a family of non almost periodic free Araki-Woods factors. UCLA: Retrieved from: http://www.escholarship.org/uc/item/6472f5mn
Journal of the European Mathematical Society
We obtain a complete classification of a large class of non almost periodic free Araki-Woods factors $\Gamma(\mu,m)"$ up to isomorphism. We do this by showing that free Araki-Woods factors $\Gamma(\mu, m)"$ arising from finite symmetric Borel measure
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73ae8f96262402d07c7ffb9a8aab5fa5
https://escholarship.org/uc/item/6472f5mn
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8
Free entropy dimension and regularity of non-commutative polynomials
Autor: Ian Charlesworth, Dimitri Shlyakhtenko
Publikováno v: Journal of Functional Analysis. 271:2274-2292
We show that the spectral measure of any non-constant non-commutative polynomial evaluated at a non-commutative n -tuple cannot have atoms if the free entropy dimension of that n -tuple is n (see also work of Mai, Speicher, and Weber). Under stronger
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::87a93acde3f99d1e0d56266bbbea8a2f
https://doi.org/10.1016/j.jfa.2016.05.001
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10
Representing interpolated free group factors as group factors
Autor: Sorin Popa, Dimitri Shlyakhtenko
We construct a one parameter family of ICC groups $\{G_t\}_{t>1}$, with the property that the group factor $L(G_t)$ is isomorphic to the interpolated free group factor $L(\mathbb F_t):=L(\mathbb{F}_2)^{1/\sqrt{t-1}}$, $\forall t$. Moreover, the group
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95508a30a626284ed4dbfeb30615e67e
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