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math.OA2026
Regular simple nuclear C*-algebras
Samuel Evington, Shanshan Hua, Christopher Schafhauser +3
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 th…
math.OA2026
Principal groupoid models for stable UCT Kirchberg algebras
Samuel Evington, Philipp Sibbel
We show that every stable UCT Kirchberg algebra has a principal étale groupoid model, and thus contains a C-diagonal. Every unital UCT Kirchberg algebra for which …
math.OA2026
The real and stable rank of tracially complete C*-algebras
Samuel Evington, Aaron Tikuisis
We prove that a factorial tracially complete C*-algebra with CPoU has real rank zero and stable rank one. This leads to an essentially complete description of the Cuntz semigroup o…