Modular Completely Dirichlet forms as Squares of Derivations
Operator Algebras
2023-07-11 v1 Mathematical Physics
Functional Analysis
math.MP
Quantum Physics
Abstract
We prove that certain closable derivations on the GNS Hilbert space associated with a non-tracial weight on a von Neumann algebra give rise to GNS-symmetric semigroups of contractive completely positive maps on the von Neumann algebra.
Cite
@article{arxiv.2307.04502,
title = {Modular Completely Dirichlet forms as Squares of Derivations},
author = {Melchior Wirth},
journal= {arXiv preprint arXiv:2307.04502},
year = {2023}
}