A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case
Volume 117 / 2009
Colloquium Mathematicum 117 (2009), 81-93
MSC: 45L53, 46L08.
DOI: 10.4064/cm117-1-5
Abstract
The paper presents several combinatorial properties of the boolean cumulants. A consequence is a new proof of the multiplicative property of the boolean cumulant series that can be easily adapted to the case of boolean independence with amalgamation over an algebra.
