Non-Commutative Functions and Non-Commutative Free Levy-Hincin Formula

Details Non-Commutative Functions and Non-Commutative Free Levy-Hincin Formula Non-Commutative Functions and Non-Commutative Free Levy-Hincin Formula

2010-07-12

arxiv.org/abs/1007.1932v4

Mathematics

Operator Algebras

Third version, with less typos and simpler notations

Scientific paper

The paper is discussing infinite divisibility in the setting of
operator-valued boolean, free and, more general, c-free independences.
Particularly, using Hilbert bimodules and non-commutative functions techniques,
we obtain analogues of the Levy-Hincin integral representation for infinitely
divisible real measures.

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