Non-microstates free entropy dimension for groups

Igor Mineyev, Dimitri Shlyakhtenko

Type: Preprint

Publication Date: 2003-01-01

Citations: 1

DOI: https://doi.org/10.48550/arxiv.math/0312242

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Non-microstates free entropy dimension for groups	2005	Igor Mineyev Dimitri Shlyakhtenko
+	Applications of free entropy to finite von Neumann algebras	1997	Liming Ge
+	An Alternative to Free Entropy for Free Group Factors	2003	Michal Dostál Don Hadwin
+	Von Neumann Algebras of Sofic Groups with $β_{1}^{(2)}=0$ are Strongly $1$-Bounded	2016	Dimitri Shlyakhtenko
+ PDF Chat	An inequality for non-microstates free entropy dimension for crossed products by finite abelian groups	2023	Dimitri Shlyakhtenko
+	Indecomposability of free group factors over nonprime subfactors and abelian subalgebras	2004	Marius B. Stefan
+	A Inequality for Non-Microstates Free Entropy Dimension for Crossed Products by Finite Abelian Groups	2022	Dimitri Shlyakhtenko
+ PDF Chat	Fuglede–Kadison Determinants and Sofic Entropy	2016	Ben Hayes
+	Entropy of groups and subfactors	1992	Dietmar Bisch
+ PDF Chat	ON THE VOLUME ENTROPY OF FINITELY GENERATED GROUPS	2022	Thiziri Moulla
+	Von Neumann Algebras of Sofic Groups with $\beta_{1}^{(2)}=0$ are Strongly $1$-Bounded	2016	Dimitri Shlyakhtenko
+	Remarks on free entropy dimension	2005	Dimitri Shlyakhtenko
+ PDF Chat	The work of Lewis Bowen on the entropy theory of non-amenable group actions	2019	Jean‐Paul Thouvenot
+	Two applications of free entropy	1996	Ken Dykema
+ PDF Chat	Free entropy dimension in amalgamated free products	2008	Nathanial P. Brown Kenneth J. Dykema Kenley Jung
+ PDF Chat	The Euler Characteristic of Discrete Groups and Yuzvinskii's Entropy Addition Formula	1999	Gábor Elek
+	Perturbation theoretic entropy of the boundary actions of free groups	2005	Rui Okayasu
+	Some free entropy dimension inequalities for subfactors	2004	Kenley Jung
+	Bowen’s Entropy for Endomorphisms of Totally Bounded Abelian Groups	2014	Domingo Alcaraz Dikran Dikranjan Manuel Sanchis
+	Topological Free Entropy Dimension of One Variable in C$^*$-algebras	2007	Don Hadwin Junhao Shen

Works That Cite This (1)

Action	Title	Year	Authors
+	Finite Free Entropy and Free Group Factors	2004	Nathanial P. Brown

Works Cited by This (9)

Action	Title	Year	Authors
+ PDF Chat	Coxeter Graphs and Towers of Algebras	1989	Frederick M. Goodman Pierre de la Harpe Vaughan F. R. Jones
+	None	2004	Dimitri Shlyakhtenko
+	Large deviation bounds for matrix Brownian motion	2003	Philippe Biane Mireille Capitaine Alice Guionnet
+	The analogues of entropy and of Fisher's information measure in free probability theory, II	1994	Dan Voiculescu
+	L2-Cohomology and group cohomology	1986	Jeff Cheeger Mikhael Gromov
+	Invariants ℓ2 de relations d’équivalence et de groupes	2002	Damien Gaboriau
+	On Rings of Operators	1936	F. J. Murray J. v. Neumann
+	A Free Entropy Dimension Lemma	2002	Kenley Jung
+	The non-microstates free entropy dimension of DT-operators	2003	Lars Aagaard