Two applications of free entropy
Ken Dykema
TL;DR
This paper explores applications of Voiculsecu's free entropy to demonstrate that free group factors lack property C and finite multiplicity abelian subalgebras, revealing new structural insights.
Contribution
It introduces novel applications of free entropy to establish the absence of property C and finite multiplicity abelian subalgebras in free group factors.
Findings
Free group factors lack property C.
Free group factors lack finite multiplicity abelian subalgebras.
Application of free entropy to operator algebra properties.
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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Taxonomy
TopicsRandom Matrices and Applications · Advanced Combinatorial Mathematics · Algebraic structures and combinatorial models