Upgrading subordination properties in free probability theory
Operator Algebras
2022-09-27 v1
Abstract
The existence of Voiculescu's subordination functions in the context of non-tracial operator-valued C*-probability spaces has been established using analytic function theory methods. We use a matrix construction to show that the subordination functions thus obtained also satisfy an appropriately modified form of subordination for conditional expectations.
Cite
@article{arxiv.2209.12710,
title = {Upgrading subordination properties in free probability theory},
author = {Hari Bercovici and Serban T. Belinschi},
journal= {arXiv preprint arXiv:2209.12710},
year = {2022}
}