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Free-free-Boolean independence for triples of algebras

Published 9 Jan 2018 in math.OA | (1801.03401v1)

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.

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