Non-Commutative Functions and Non-Commutative Free Levy-Hincin Formula
Operator Algebras
2011-11-24 v4 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1007.1932,
title = {Non-Commutative Functions and Non-Commutative Free Levy-Hincin Formula},
author = {Mihai Popa and Victor Vinnikov},
journal= {arXiv preprint arXiv:1007.1932},
year = {2011}
}
Comments
Third version, with less typos and simpler notations