Nuclearity and CPC*-systems
Operator Algebras
2024-10-10 v2
Abstract
We write arbitrary separable nuclear C*-algebras as limits of inductive systems of finite-dimensional C*-algebras with completely positive connecting maps. The characteristic feature of such CPC*-systems is that the maps become more and more orthogonality preserving. This condition makes it possible to equip the limit, a priori only an operator space, with a multiplication turning it into a C*-algebra. Our concept generalizes the NF systems of Blackadar and Kirchberg beyond the quasidiagonal case.
Keywords
Cite
@article{arxiv.2304.01332,
title = {Nuclearity and CPC*-systems},
author = {Kristin Courtney and Wilhelm Winter},
journal= {arXiv preprint arXiv:2304.01332},
year = {2024}
}
Comments
Corrected minor typos. This version to appear in Forum. Math. Sigma. 31 pages