Mixtures of classical and free independence
Operator Algebras
2016-05-05 v3 Probability
Abstract
We revive the concept of Lambda-freeness of Mlotkowski, which describes a mixture of classical and free independence between algebras of random variables. In particular, we give a description of this in terms of cumulants; this will be instrumental in the subsequent paper [SW] where the quantum symmetries underlying these mixtures of classical and free independences will be considered.
Keywords
Cite
@article{arxiv.1603.08758,
title = {Mixtures of classical and free independence},
author = {Roland Speicher and Janusz Wysoczanski},
journal= {arXiv preprint arXiv:1603.08758},
year = {2016}
}
Comments
We rewrote and shortened the earlier version. The third version contains mainly the results which are new compared to the paper of Mlotkowski