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The Microstates Free Entropy Dimension of any DT--operator is 2

2004/12/14 by Ken Dykema, Dykema, Ken, Kenley Jung +3
Mathematics · #46L54 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L54

paper · pdf · doi:10.48550/arxiv.math/0412273

11 pages

arxiv created 2004/12/14 · arxiv updated 2009/12/01

Abstract

Suppose that μis an arbitrary Borel measure on the complex plane with compact support and take c > 0. If Z is a DT(μ,c)-operator as defined by Dykema and Haagerup, then the microstates free entropy dimension of Z is 2

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