On multiplicative conditionally free convolution
Operator Algebras
2008-05-29 v2 Combinatorics
Abstract
Using the combinatorics of non-crossing partitions, we construct a conditionally free analogue of the Voiculescu's S-transform. The result is applied to analytical description of conditionally free multiplicative convolution and characterization of infinite divisibility.
Keywords
Cite
@article{arxiv.0805.0257,
title = {On multiplicative conditionally free convolution},
author = {Mihai Popa and Jiun-Chau Wang},
journal= {arXiv preprint arXiv:0805.0257},
year = {2008}
}