Nuclear dimension of simple C*-algebras
Operator Algebras
2021-04-07 v3
Abstract
We compute the nuclear dimension of separable, simple, unital, nuclear, Z-stable C*-algebras. This makes classification accessible from Z-stability and in particular brings large classes of C*-algebras associated to free and minimal actions of amenable groups on finite dimensional spaces within the scope of the Elliott classification programme.
Cite
@article{arxiv.1901.05853,
title = {Nuclear dimension of simple C*-algebras},
author = {Jorge Castillejos and Samuel Evington and Aaron Tikuisis and Stuart White and Wilhelm Winter},
journal= {arXiv preprint arXiv:1901.05853},
year = {2021}
}
Comments
Invent. Math., to appear. Minor changes, accepted version