Maximality of the microstates free entropy for R-diagonal elements
Maximality of the microstates free entropy for R-diagonal elements
A non-commutative non-self adjoint random variable z is called R-diagonal, if its * -distribution is invariant under multiplication by free unitaries: if a unitary w is * -free from z, then the * -distribution of z is the same as that of wz.Using Voiculescu's microstates definition of free entropy, we …