Compatibility of a noncommutative probability space and a noncommutative probability space with amalgamation
Operator Algebras
2007-05-23 v2 Functional Analysis
Abstract
In this paper, we will consider R-transform theory and R-transform calculus for compatible noncommutative probability space and amagamated noncommutative probability space. By doing this, we can realize the relation between scalar-valued R-transforms and operator-valued moment series, under the compatibility. Also, we can see that there is a big gap between freeness and amalgamated freeness.
Keywords
Cite
@article{arxiv.math/0405192,
title = {Compatibility of a noncommutative probability space and a noncommutative probability space with amalgamation},
author = {Ilwoo Cho},
journal= {arXiv preprint arXiv:math/0405192},
year = {2007}
}
Comments
37 pages