English

Decomposing nuclear maps

Operator Algebras 2019-11-05 v2

Abstract

We show that the strengthened version of the completely positive approximation property of Brown, Carri\'on, and White---where the downward maps are asymptotically order zero and the upward maps are convex combinations of order zero maps---is enjoyed by every nuclear order zero map.

Keywords

Cite

@article{arxiv.1908.00937,
  title  = {Decomposing nuclear maps},
  author = {José R. Carrión and Christopher Schafhauser},
  journal= {arXiv preprint arXiv:1908.00937},
  year   = {2019}
}

Comments

To appear in Munster J. Math