Independence and Product Systems
Operator Algebras
2007-05-23 v1 Probability
Abstract
Starting from elementary considerations about independence and Markov processes in classical probability we arrive at the new concept of conditional monotone independence (or operator-valued monotone independence). With the help of product systems of Hilbert modules we show that monotone conditional independence arises naturally in dilation theory.
Cite
@article{arxiv.math/0308245,
title = {Independence and Product Systems},
author = {Michael Skeide},
journal= {arXiv preprint arXiv:math/0308245},
year = {2007}
}
Comments
To appear in Proceedings of the ``First Sino-German Meeting on Stochastic Analysis'', Beijing, 2002