The microstates free entropy dimension of any DT-operator is 2

Ken Dykema; Kenley Jung; Dimitri Shlyakhtenko

doi:10.4171/dm/188

JournalsdmVol. 10pp. 247–261

The microstates free entropy dimension of any DT-operator is 2

Ken Dykema
Westfälische Wilhelms-Universität Münster, Germany; and Texas A&M University, College Station, Germany
Kenley Jung
University of California, Los Angeles, USA
Dimitri Shlyakhtenko
University of California, Los Angeles, USA

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Abstract

Suppose that $μ$ is an arbitrary Borel measure on $C$ with compact support and $c > 0$ . If $Z$ is a DT $(μ, c)$ -operator as defined by Dykema and Haagerup in [6], then the microstates free entropy dimension of $Z$ is 2.

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Ken Dykema, Kenley Jung, Dimitri Shlyakhtenko, The microstates free entropy dimension of any DT-operator is 2. Doc. Math. 10 (2005), pp. 247–261

DOI 10.4171/DM/188