The non-microstates free entropy dimension of DT-operators

Dykema and Haagerup introduced the class of DT-operators (Amer. J. Math. 126 (2004) 121–189) and also showed that every DT-operator generate L(F2) (J. Funct. Anal. 209 (2004) 332–366), the von Neumann algebra generated by the free group on two generators. In this paper, we prove that Voiculescuʹs non-microstates free entropy dimension is 2 for all DT-operators.