Villadsen algebras are singly generated
Operator Algebras
2026-04-10 v1
Abstract
We show that Villadsen algebras, which are not Z-stable, are singly generated. More generally, we show that any simple unital AH algebra with diagonal maps is singly generated.
Cite
@article{arxiv.2604.07688,
title = {Villadsen algebras are singly generated},
author = {Chun Guang Li and Zhuang Niu and Vincent M. Ruzicka},
journal= {arXiv preprint arXiv:2604.07688},
year = {2026}
}