Stochastic Dilation of Symmetric Completely Positive Semigroups
Mathematical Physics
2007-05-23 v1 Functional Analysis
math.MP
Abstract
This is a continuation of the study of the theory of quantum stochastic dilation of completely positive semigroups on a von Neumann or algebra, here with unbounded generators. The additional assumption of symmetry with respect to a semifinite trace allows the use of the Hilbert space techniques, while the covariance gives rise to better handle on domains. An Evans-Hudson flow is obtained, dilating the given semigroup.
Cite
@article{arxiv.math-ph/0201005,
title = {Stochastic Dilation of Symmetric Completely Positive Semigroups},
author = {Debashish Goswami and Kalyan B. Sinha},
journal= {arXiv preprint arXiv:math-ph/0201005},
year = {2007}
}