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arxiv: 1801.03401 · v1 · pith:MYCEXK7Xnew · submitted 2018-01-09 · 🧮 math.OA

Free-free-Boolean independence for triples of algebras

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keywords free-free-booleanindependencealgebrascumulantstriplesbooleancentraldefine
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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.

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