Constructing C*-diagonals in AH-algebras
arXiv:2111.11765
Abstract
We construct Cartan subalgebras and hence groupoid models for classes of AH-algebras. Our results cover all AH-algebras whose building blocks have base spaces of dimension at most one as well as Villadsen algebras, and thus go beyond classifiable simple C*-algebras.
20 pages; minor changes; final version, accepted for publication in Trans. Amer. Math. Soc