Finite Free Entropy and Free Group Factors

2004/03/17 by Nathanial P. Brown, Brown, Nathanial P. · 1 citation
Mathematics · #Advanced Operator Algebra Research #Random Matrices and Applications #Spectral Theory in Mathematical Physics #math.OA

paper · pdf · doi:10.48550/arxiv.math/0403294

8 pages, more references added

arxiv created 2004/03/18 · arxiv updated 2009/12/01

Abstract

We show the existence of noncommutative random variables with finite free entropy but which do not generate a free group factor.

Cited by

• Strongly 1-bounded von Neumann algebras

Related

• Two applications of free entropy
• Indecomposability of free group factors over nonprime subfactors and abelian subalgebras
• Remarks on free entropy dimension
• Free Entropy
• Maximality of the microstates free entropy for R-diagonal elements