Graph-Based Models for Kirchberg Algebras

Abstract

We give a construction of Kirchberg algebras from graphs. By using product graphs in the construction we are able to provide models for general (UCT) Kirchberg algebras while maintaining the explicit generators and relations of the underlying graphs.

27 pages, 2 figures

References in corpus (1)

• Non-cyclotomic Presentations of Modules and Prime-order Automorphisms of Kirchberg Algebras

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• Approaching the UCT problem via crossed products of the Razak-Jacelon algebra
• Every classifiable simple C*-algebra has a Cartan subalgebra
• Groupoids and C*-algebras for categories of paths
• Simplicity of 2-graph algebras associated to Dynamical Systems
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• The UCT problem for nuclear $C^{\ast }$-algebras