The non-microstates free entropy dimension of DT-operators

Details The non-microstates free entropy dimension of DT-operators The non-microstates free entropy dimension of DT-operators

2003-05-28

arxiv.org/abs/math/0305397v1

Mathematics

Operator Algebras

30 pages

Scientific paper

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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