A new proof for the multiplicative property of the boolean cumulants with applications to operator-valued case

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158792The paper presents several combinatorial properties of the boolean cumulants. A corollary is a new proof of the multiplicative property of the boolean cumulant series that can be easily adapted for the case of boolean independence with amalgamation over an algebra.Operator AlgebrasCombinatorics45L53,46L08A new proof for the multiplicative property of the boolean cumulants with applications to operator-valued casetext