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

Mihai Popa

Colloquium Mathematicae (2009)

  • Volume: 117, Issue: 1, page 81-93
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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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 117.1 (2009): 81-93. <http://eudml.org/doc/283485>.

@article{MihaiPopa2009,
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.},
author = {Mihai Popa},
journal = {Colloquium Mathematicae},
keywords = {Boolean cumulants; Boolean independence},
language = {eng},
number = {1},
pages = {81-93},
title = {A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case},
url = {http://eudml.org/doc/283485},
volume = {117},
year = {2009},
}

TY - JOUR
AU - Mihai Popa
TI - A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case
JO - Colloquium Mathematicae
PY - 2009
VL - 117
IS - 1
SP - 81
EP - 93
AB - 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.
LA - eng
KW - Boolean cumulants; Boolean independence
UR - http://eudml.org/doc/283485
ER -

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