Two applications of free entropy

1996/05/08 by Ken Dykema, Dykema, Ken
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.funct-an/9605005

openalex publication_date 1996/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Voiculsecu's free entropy, it is shown that the free group factors L(F_n) lack property C of Popa and that they lack finite multiplicity abelian subalgebras. Property C is an assymptotic commutivity property.

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