On k-decomposability of positive maps
Mathematical Physics
2016-09-07 v1 math.MP
Operator Algebras
Abstract
We extend the theory of decomposable maps by giving a detailed description of k-positive maps. A relation between transposition and modular theory is established. The structure of positive maps in terms of modular theory (the generalized Tomita-Takesaki scheme) is examined.
Cite
@article{arxiv.math-ph/0306017,
title = {On k-decomposability of positive maps},
author = {Louis E. Labuschagne and Władysław A. Majewski and Marcin Marciniak},
journal= {arXiv preprint arXiv:math-ph/0306017},
year = {2016}
}
Comments
23 pages