Zobrazeno 1 - 10
of 364
pro vyhledávání: '"free entropy dimension"'
Autor:
Shlyakhtenko, D.
For certain generating sets of the subfactor pair $M\subset M\rtimes G$ where $G$ is a finite abelian group we prove an approximate inequality between their non-microstates free entropy dimension, resembling the Shreier formula for ranks of finite in
Externí odkaz:
http://arxiv.org/abs/2201.09503
Autor:
LI, WEIHUA, SHEN, JUNHAO
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2014 Jan 01. 44(6), 1961-1986.
Externí odkaz:
https://www.jstor.org/stable/26409412
Autor:
Jung, Kenley
Publikováno v:
Transactions of the American Mathematical Society, 2003 Dec 01. 355(12), 5053-5089.
Externí odkaz:
https://www.jstor.org/stable/1194780
Autor:
Jung, Kenley
Publikováno v:
Proceedings of the American Mathematical Society, 2006 Jul 01. 134(7), 2099-2108.
Externí odkaz:
https://www.jstor.org/stable/4098241
We show that in a tracial and finitely generated $W^\ast$-probability space existence of conjugate variables excludes algebraic relations for the generators. Moreover, under the assumption of maximal non-microstates free entropy dimension, we prove t
Externí odkaz:
http://arxiv.org/abs/1502.06357
Publikováno v:
Journal of Operator Theory, 2014 Jan 01. 71(1), 15-44.
Externí odkaz:
https://www.jstor.org/stable/24716729
Publikováno v:
In Advances in Mathematics 2 January 2017 304:1080-1107
Publikováno v:
In Journal of Functional Analysis 15 October 2016 271(8):2274-2292
We continue previous work on Voiculescu's topological free entropy dimension {\delta}_{top}. We introduce the notions of MF-trace, MF-ideal, and MF-nuclearity and use these concepts to obtain upper and lower bounds for {\delta}_{top}, and in many cas
Externí odkaz:
http://arxiv.org/abs/1109.0673
Autor:
Shlyakhtenko, D.
By proving that certain free stochastic differential equations have stationary solutions, we give a lower estimate on the microstates free entropy dimension of certain $n$-tuples $X_{1},...,X_{n}$: we show that Abstract. By proving that certain free
Externí odkaz:
http://arxiv.org/abs/0710.4111