Models for subhomogeneous $C^*$-algebras
Volume 166 / 2021
Colloquium Mathematicum 166 (2021), 75-106
MSC: Primary 46L35; Secondary 46L52.
DOI: 10.4064/cm7812-10-2020
Published online: 11 February 2021
Abstract
A new category of topological spaces with additional structures, called m-towers, is introduced. It is shown that there is a contravariant functor which establishes a one-to-one correspondences between unital (resp. arbitrary) subhomogeneous $C^*$-algebras and proper (resp. proper pointed) m-towers of finite height, and between all $*$-homomorphisms between two such algebras and morphisms between m-towers corresponding to these algebras.
