2-positive almost order zero maps and decomposition rank
Operator Algebras
2020-10-13 v2 Quantum Algebra
Abstract
We consider 2-positive almost order zero (disjointness preserving) maps on C*-algebras. Generalizing the argument of M. Choi for multiplicative domains, we give an internal characterization of almost order zero for 2-positive maps. It is also shown that complete positivity can be reduced to 2-positivity in the definition of decomposition rank for unital separable C*-algebras.
Keywords
Cite
@article{arxiv.1908.03466,
title = {2-positive almost order zero maps and decomposition rank},
author = {Yasuhiko Sato},
journal= {arXiv preprint arXiv:1908.03466},
year = {2020}
}
Comments
21 pages, the first main theorem improved, minor corrections