How Free-Free-Boolean Independence Arises in Bi-Free Probability
Functional Analysis
2025-05-27 v1 Probability
Abstract
This work concerns notions of multi-algebra independence introduced by Liu and how they can be studied in the context of bi-free probability. In particular, we show how the free-free-Boolean independence for triples of algebras can be embedded intro and therefore studied from a lens of bi-free probability. It is also shown how its cumulants can be constructed from the bi-free cumulants.
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Cite
@article{arxiv.2505.18274,
title = {How Free-Free-Boolean Independence Arises in Bi-Free Probability},
author = {Daniel Pepper},
journal= {arXiv preprint arXiv:2505.18274},
year = {2025}
}
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22 pages