KK-rigidity of simple nuclear C*-algebras

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• Christopher Schafhauser (University of Nebraska)
• Friday 18 July 2025, 14:30-15:10
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TGAW02 - C*-algebras: classification and dynamical constructions

A landmark result in C-algebra theory is the classification of unital separable simple nuclear Z-stable C-algebras satisfying the universal coefficient theorem (UCT) in terms of their K-theory and traces. I will discuss this result with a focus on the role of UCT .  In the infinite setting, without the UCT , two unital Kirchberg algebras are isomorphic if and only they are KK-equivalent in a unit-preserving way. I’ll discuss some results along these lines in the finite case.

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

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