Free Probability on a Direct Product of Noncommutative Probability Spaces
Operator Algebras
2016-09-07 v1
Abstract
In this paper, we observevd the amalgamated free probability of direct product of noncommutative probability spaces. We defined the amalgamated R-transforms, amalgamated moment series and the amalgamated boxed convolution. They maks us to do the amalgamated R-transform calculus, like the scalar-valued case.
Keywords
Cite
@article{arxiv.math/0509643,
title = {Free Probability on a Direct Product of Noncommutative Probability Spaces},
author = {Ilwoo Cho},
journal= {arXiv preprint arXiv:math/0509643},
year = {2016}
}
Comments
27 pages