From directed graphs of groups to Kirchberg algebras

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• Victor Wu (University of Sydney)
• Tuesday 15 July 2025, 10:25-10:45
• External.

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TGAW02 - C*-algebras: classification and dynamical constructions

Directed graph algebras have long been studied as tractable examples of C-algebras, but they are limited by their inability to have torsion in their K_1 group. Graphs of groups, which are famed in geometric group theory because of their intimate connection with group actions on trees, are a more recent addition to the C-algebra scene. In this talk, I will introduce the child of these two concepts – directed graphs of groups – and describe how their algebras inherit the best properties of its parents’, with a view to outlining how we can use these algebras to model a class of C*-algebras (stable UCT Kirchberg algebras) which is classified completely by K-theory.

This talk is part of the Isaac Newton Institute Seminar Series series.

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