Free entropy with respect to a completely positive map

Dimitri Shlyakhtenko

Type: Article

Publication Date: 2000-02-01

Citations: 19

DOI: https://doi.org/10.1353/ajm.2000.0005

View Publication

Locations

American Journal of Mathematics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Free Fisher information for non-tracial states	2003	Dimitri Shlyakhtenko
+	Free Fisher Information for Non-Tracial States	2001	Dimitri Shlyakhtenko
+	A-Valued Semicircular Systems	1999	Dimitri Shlyakhtenko
+	Free entropies, free Fisher information, free stochastic differential equations, with applications to Von Neumann algebras	2011	Yoann Dabrowski
+ PDF Chat	Operator-valued Free Entropy and Modular Frames	2004	Xiaohong Cao Maozheng Guo Bin Meng
+	Bi-Free Entropy with Respect to Completely Positive Maps	2021	Georgios Katsimpas Paul Skoufranis
+	Free Entropy	2001	Dan Voiculescu
+	Free Entropy	2001	Dan Voiculescu
+	Microstates free entropy and cost of equivalence relations	1999	Dimitri Shlyakhtenko
+ PDF Chat	Microstates free entropy and cost of equivalence relations	2003	Dimitri Shlyakhtenko
+	Free Entropy	2002	Dan Voiculescu
+ PDF Chat	Bi-free entropy with respect to completely positive maps	2023	Georgios Katsimpas Paul Skoufranis
+	Free probability, free entropy and applications to von Neumann algebras	2003	Liming Ge
+	A Microstates Approach to Relative Free Entropy	1998	Dimitri Shlyakhtenko
+	Fractal entropies and dimensions for microstate spaces	2002	Kenley Jung
+	A propagation property of free entropy dimension	2006	Kenley Jung
+	Free probability and model theory of tracial $\mathrm{W}^*$-algebras	2022	David Jekel
+	The free entropy dimension of hyperfinite von Neumann algebras	2001	Kenley Jung
+	Graphs of functions and vanishing free entropy	2007	Kenley Jung
+	Free probability and model theory of tracial W∗-algebras	2023	David Jekel

Works That Cite This (17)

Action	Title	Year	Authors
+	Absence of algebraic relations and of zero divisors under the assumption of finite non-microstates free Fisher information	2014	Tobias Mai Roland Speicher Moritz Weber
+	Some Minimization Problems for the Free Analogue of the Fisher Information	1999	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+	Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension	2016	Tobias Mai Roland Speicher Moritz Weber
+ PDF Chat	Operator-valued free Fisher information of random matrices	2010	Bin Meng
+	Some applications of free Fisher information on frame theory	2005	Bin Meng Maozheng Guo Xiaohong Cao
+	Unbounded derivations, free dilations and indecomposability results for II$_1$ factors	2012	Yoann Dabrowski Adrian Ioana
+	Free Fisher Information�with Respect to a Completely Positive Map�and Cost of Equivalence Relations	2001	Dimitri Shlyakhtenko
+ PDF Chat	Topological entropy of free product automorphisms	2002	Nathanial P. Brown Kenneth J. Dykema Dimitri Shlyakhtenko
+ PDF Chat	Unbounded derivations, free dilations, and indecomposability results for II$_1$ factors	2015	Yoann Dabrowski Adrian Ioana
+	Operator-valued free Fisher information of random matrices	2006	Bin Meng

Works Cited by This (11)

Action	Title	Year	Authors
+	None	1998	Dan Voiculescu
+ PDF Chat	Coxeter Graphs and Towers of Algebras	1989	Frederick M. Goodman Pierre de la Harpe Vaughan F. R. Jones
+	None	1996	Dimitri Shlyakhtenko
+	Markov traces on universal Jones algebras and subfactors of finite index	1993	Sorin Popa
+	Combinatorial theory of the free product with amalgamation and operator-valued free probability theory	1998	Roland Speicher
+	Index for subfactors	1983	Vaughan F. R. Jones
+	The analogues of entropy and of Fisher's information measure in free probability theory, II	1994	Dan Voiculescu
+	A-Valued Semicircular Systems	1999	Dimitri Shlyakhtenko
+ PDF Chat	The analogues of entropy and of Fisher's information measure in free probability theory	1998	Dan Voiculescu
+	Free Random Variables	1992	Dan Voiculescu Kenneth J. Dykema Alexandru Nica