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

Operator Algebras 2007-05-23 v1

Abstract

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

Cite

@article{arxiv.math/0412273,
  title  = {The Microstates Free Entropy Dimension of any DT--operator is 2},
  author = {Ken Dykema and Kenley Jung and Dimitri Shlyakhtenko},
  journal= {arXiv preprint arXiv:math/0412273},
  year   = {2007}
}

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11 pages