Free-free-Boolean independence for triples of algebras

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.

21 pages+ reference. Comments are welcome. arXiv admin note: text overlap with arXiv:1710.01374

References in corpus (1)

• Free-Boolean independence for pairs of algebras

Cited by in corpus (1)

• Towards a Classification of Multi-Faced Independence: A Representation-Theoretic Approach