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arXiv · 2604.07688

Villadsen algebras are singly generated

Chun Guang Li·Zhuang Niu·Vincent M. Ruzicka
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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.

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Chun Guang Li, Zhuang Niu, Vincent M. Ruzicka. 2026-04-09. Villadsen algebras are singly generated. https://doi.org/10.4171/jncg%2F659

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