Three commuting, unital, completely positive maps that have no minimal dilation
Operator Algebras
2011-08-04 v2
Abstract
In this note we prove that there exist at least two examples of three commuting, unital, completely positive maps that have no dilation on a type I factor, and no minimal dilation on any von Neumann algebra.
Keywords
Cite
@article{arxiv.1012.2111,
title = {Three commuting, unital, completely positive maps that have no minimal dilation},
author = {Orr Shalit and Michael Skeide},
journal= {arXiv preprint arXiv:1012.2111},
year = {2011}
}
Comments
7 pages. Minor corrections. To appear in Integral Equations Operator Theory