Villadsen algebras are singly generated

Journal of Noncommutative Geometry 2026 Open access

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Authors: Chun Guang Li, Zhuang Niu, Vincent M. Ruzicka
DOI: 10.4171/jncg/659
Cited by: 0

Abstract

We show that Villadsen algebras, which are not \mathcal{Z} -stable, are singly generated. More generally, we show that any simple unital AH algebra with diagonal maps is singly generated.

Fields of Study & Subjects

Advanced Operator Algebra Research Holomorphic and Operator Theory Advanced Banach Space Theory

Publication details

Journal / source
Journal of Noncommutative Geometry
Publication date
17 February 2026
Language
EN