English

The non-microstates free entropy dimension of DT-operators

Operator Algebras 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0305397,
  title  = {The non-microstates free entropy dimension of DT-operators},
  author = {Lars Aagaard},
  journal= {arXiv preprint arXiv:math/0305397},
  year   = {2007}
}

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30 pages