Free-free-Boolean independence for triples of algebras
Operator Algebras
2018-01-11 v1
Abstract
In this paper, we introduce the notion of free-free-Boolean independence relation for triples of algebras. We define free-free-Boolean cumulants ans show that the vanishing of mixed cumulants is equivalent to free-free-Boolean independence. A free-free -Boolean central limit law is studied.
Keywords
Cite
@article{arxiv.1801.03401,
title = {Free-free-Boolean independence for triples of algebras},
author = {Weihua Liu},
journal= {arXiv preprint arXiv:1801.03401},
year = {2018}
}
Comments
21 pages+ reference. Comments are welcome. arXiv admin note: text overlap with arXiv:1710.01374