English

Tensor products of positive maps of matrix algebras

Operator Algebras 2011-02-09 v1

Abstract

We give conditions for when the tensor product of two positive maps between matrix algebras is a positive map. This happens when one map belongs to a symmetric mapping cone and the other to the dual cone. Necessary and sufficient conditions are given.

Keywords

Cite

@article{arxiv.1101.2114,
  title  = {Tensor products of positive maps of matrix algebras},
  author = {Erling Størmer},
  journal= {arXiv preprint arXiv:1101.2114},
  year   = {2011}
}