Free-Boolean independence with amalgamation
Operator Algebras
2017-12-08 v1
Abstract
In this paper, we develop the notion of free-Boolean independence in an amalgamation setting. We construct free-Boolean cumulants and show that the vanishing of mixed free-Boolean cumulants is equivalent to our free-Boolean independence with amalgamation. We also provide a characterization of free-Boolean independence by conditions in terms of mixed moments. In addition, we study free-Boolean independence over a -algebra and prove a positivity property.
Keywords
Cite
@article{arxiv.1712.02465,
title = {Free-Boolean independence with amalgamation},
author = {Weihua Liu and Ping Zhong},
journal= {arXiv preprint arXiv:1712.02465},
year = {2017}
}
Comments
24pages+ reference. Comments are welcome