Construction of product $*$-probability spaces via free cumulants
Operator Algebras
2025-02-10 v2 Combinatorics
Probability
Abstract
It is well known that free independence is equivalent to the vanishing of mixed free cumulants. The purpose of this short note is to build free products of -probability spaces using this as the definition of freeness and relying on free cumulants instead of moments.
Cite
@article{arxiv.2007.10989,
title = {Construction of product $*$-probability spaces via free cumulants},
author = {Arup Bose and Soumendu Sundar Mukherjee},
journal= {arXiv preprint arXiv:2007.10989},
year = {2025}
}
Comments
8 pages