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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
Pureness of Certain Crossed Product C*-Algebras
Dawn Archey, Julian Buck, Javad Mohammadkarimi +2
We establish comparison and divisibility properties for crossed product C*-algebras arising from automorphisms of algebras C (X, D) which lie over minimal homeomorphisms, from acti…
math.OA2026
Continuous functions over a pure C*-algebra
Apurva Seth, Eduard Vilalta
Let be a compact metric space, and let be a pure -algebra. We show that is pure whenever is simple; or every quotient of is stably finite (e.…