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The non-microstates free entropy dimension of DT-operators

Lars Aagaard

math.OAarXiv:math/0305397

Abstract

Dykema and Haagerup introduced the class of DT-operators and also showed that every DT-operator generate the von Neumann algebra generated by the free group on two generators. In this paper we prove that Voiculescu's non-microstates free entropy dimension is 2 for all DT-operators.

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