Geodesic
A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case
Mihai Popa1
1 Department of Mathematics Indiana University at Bloomington Rawles Hall 931 E 3rd St Bloomington, IN 47405, U.S.A. and Institute of Mathematics Romanian Academy P.O. Box 1-764 RO-70700, Bucureşti, Romania
Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 81-93 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm117-1-5
Keywords: paper presents several combinatorial properties boolean cumulants consequence proof multiplicative property boolean cumulant series easily adapted boolean independence amalgamation algebra

Mihai Popa 1

1 Department of Mathematics Indiana University at Bloomington Rawles Hall 931 E 3rd St Bloomington, IN 47405, U.S.A. and Institute of Mathematics Romanian Academy P.O. Box 1-764 RO-70700, Bucureşti, Romania 
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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 Mathematicum, Tome 117 (2009) no. 1, pp. 81-93. doi: 10.4064/cm117-1-5

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