A note on fixed points of completely positive maps
Operator Algebras
2007-05-23 v1
Abstract
It is shown that a fixed point of a completely positive map on a semi-finite von Neumann algebra must commute with the operators determining the map (the Lueders phenomenon) if the element is finite or has finite square.
Cite
@article{arxiv.math/0308053,
title = {A note on fixed points of completely positive maps},
author = {Gert K. Pedersen},
journal= {arXiv preprint arXiv:math/0308053},
year = {2007}
}