Notes on microstate free entropy of projections
Operator Algebras
2019-05-21 v1
Abstract
We study the microstate free entropy of projections, and establish its basic properties similar to the self-adjoint variable case. Our main contribution is to characterize the pair-block freeness of projections by the additivity of their free entropy (Theorem 4.1), in the proof of which a transportation cost inequality plays an important role. We also briefly discuss the free pressure in relation to the microstate free entropy of projections.
Keywords
Cite
@article{arxiv.math/0605633,
title = {Notes on microstate free entropy of projections},
author = {Fumio Hiai and Yoshimichi Ueda},
journal= {arXiv preprint arXiv:math/0605633},
year = {2019}
}