Decomposable approximations of nuclear C*-algebras
Operator Algebras
2012-04-27 v2
Abstract
We show that nuclear C*-algebras have a refined version of the completely positive approximation property, in which the maps that approximately factorize through finite dimensional algebras are convex combinations of order zero maps. We use this to show that a separable nuclear C*-algebra A which is closely contained in a C*-algebra B embeds into B.
Keywords
Cite
@article{arxiv.1109.2379,
title = {Decomposable approximations of nuclear C*-algebras},
author = {Ilan Hirshberg and Eberhard Kirchberg and Stuart White},
journal= {arXiv preprint arXiv:1109.2379},
year = {2012}
}
Comments
Typos and and a few minor points corrected. Adv. Math., to appear