Every classifiable simple C*-algebra has a Cartan subalgebra
Operator Algebras
2019-08-13 v3
Abstract
We construct Cartan subalgebras in all classifiable stably finite C*-algebras. Together with known constructions of Cartan subalgebras in all UCT Kirchberg algebras, this shows that every classifiable simple C*-algebra has a Cartan subalgebra.
Keywords
Cite
@article{arxiv.1802.01190,
title = {Every classifiable simple C*-algebra has a Cartan subalgebra},
author = {Xin Li},
journal= {arXiv preprint arXiv:1802.01190},
year = {2019}
}
Comments
final version, accepted for publication in Invent. Math.; title changed, results improved; 29 pages