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

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

2008-04-14

arxiv.org/abs/0804.2109v2

Mathematics

Operator Algebras

Scientific paper

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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