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.
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