Author

Christopher P. Schafhauser

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Preprint Nov 2026

The Nuclear Dimension of Extensions and Graph $C^*$-Algebras

We prove that the nuclear dimension of any graph $C^*$-algebra is at most two, and we compute the exact value of the nuclear dimension for a large class of graph $C^*$-algebras. In particular, this class covers all graphs with Condition (K). Our methods --- based on Szab\'o's recent $KK$-uniqueness theorem --- provide...

Samuel Evington, Gregory Faurot, Christopher Schafhauser · 0 citations

Preprint Oct 2026

Regular simple nuclear C*-algebras

We prove Z-stability for all simple, separable, pure, nuclear C*-algebras. Combining this with very recent work of Thiel completes the proof of the Toms-Winter conjecture. We do this through the framework of II_1 factorial tracially complete C*-algebras. We characterise regularity for these algebras in various terms. I...

Samuel Evington, Shan-Shan Hua, Christopher Schafhauser et al. · 1 citation · ⚡1