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Models for subhomogeneous $C^*$-algebras

Volume 166 / 2021

Piotr Niemiec 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.

Authors

  • Piotr NiemiecInstytut Matematyki
    Wydział Matematyki i Informatyki
    Uniwersytet Jagielloński
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail

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