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arXiv · 2505.18274

How Free-Free-Boolean Independence Arises in Bi-Free Probability

Daniel Pepper
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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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Daniel Pepper. 2025-05-23. How Free-Free-Boolean Independence Arises in Bi-Free Probability. https://arxiv.org/abs/2505.18274

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