The free entropy dimension of some $L^{\infty }[0,1]$-circular operators

Abstract

We find the microstates free entropy dimension of a large class of $L^{\infty }[0,1]$-circular operators, in the presence of a generator of the diagonal subalgebra.

18 pages, 3 figures

References in corpus (1)

• All generating sets of all property T von Neumann algebras have free entropy dimension $\le 1$