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

2008/04/14 by Popa, Mihai
#45L53 #46L08 #Combinatorics (math.CO) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0804.2109

Abstract

The 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.

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