Dykema, Ken; Jung, Kenley; Shlyakhtenko, Dimitri The microstates free entropy dimension of any DT–operator is 2. (English) Zbl 1094.46038 Doc. Math. 10, 247-261 (2005). Summary: Suppose that \(\mu\) is an arbitrary Borel measure on \(\mathbb C\) with compact support and \(c >0\). If \(Z\) is a DT\((\mu,c)\)-operator as defined by K. Dykema and U. Haagerup in [Am. J. Math. 126, No. 1, 121–189 (2004; Zbl 1054.47026)], then the microstates free entropy dimension of \(Z\) is \(2\). MSC: 46L54 Free probability and free operator algebras 28A78 Hausdorff and packing measures Keywords:DT-operator; free entropy dimension Citations:Zbl 1054.47026 PDFBibTeX XMLCite \textit{K. Dykema} et al., Doc. Math. 10, 247--261 (2005; Zbl 1094.46038) Full Text: arXiv EuDML EMIS