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Villadsen algebras are singly generated

  • Chun Guang Li

    Northeast Normal University, Changchun, P. R. China

  • Zhuang Niu

    University of Wyoming, Laramie, USA

  • Vincent M. Ruzicka

    University of Wyoming, Laramie, USA
Villadsen algebras are singly generated cover

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Abstract

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

Cite this article

Chun Guang Li, Zhuang Niu, Vincent M. Ruzicka, Villadsen algebras are singly generated. J. Noncommut. Geom. (2026), published online first

DOI 10.4171/JNCG/659