A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case
Mihai Popa
Colloquium Mathematicae, Tome 116 (2009), p. 81-93 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:283485 
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     title = {A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case},
     journal = {Colloquium Mathematicae},
     volume = {116},
     year = {2009},
     pages = {81-93},
     zbl = {1185.46045},
     language = {en},
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Mihai Popa. A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case. Colloquium Mathematicae, Tome 116 (2009) pp. 81-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm117-1-5/