The Toeplitz algebra has nuclear dimension one
Operator Algebras
2019-04-24 v1
Abstract
We prove the title by constructing 2-colourable completely positive approximations for the Toeplitz algebra. Besides results about nuclear dimension and completely positive contractive order zero maps, our argument involves projectivity of the cone over a finite dimensional C*-algebra and Lin's theorem on almost normal matrices.
Cite
@article{arxiv.1808.09647,
title = {The Toeplitz algebra has nuclear dimension one},
author = {Laura Brake and Wilhelm Winter},
journal= {arXiv preprint arXiv:1808.09647},
year = {2019}
}
Comments
8 pages