A MICROSTATES APPROACH TO RELATIVE FREE ENTROPY
A MICROSTATES APPROACH TO RELATIVE FREE ENTROPY
We introduce a microstates-based notion of relative free entropy. This quantity is a microstates analog of Voiculescu's microstates-free relative entropy χ*(X 1 ,…,X n :B), and coinsides with his microstates entropy in the case that the algebra B consists of just mulitplies of identity. More generally, there is a formula …