5 papers
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…
Uniqueness for embeddings of nuclear -algebras into type II factors
Shanshan Hua, Stuart White
Let be a separable, unital and exact -algebra satisfying the universal coefficient theorem. We prove uniqueness theorems up to unitary conjugacy for unital, full and nucle…
Nuclear C*-algebras: 99 problems
Christopher Schafhauser, Aaron Tikuisis, Stuart White
We present a collection of questions related to the structure and classification of nuclear C*-algebras.
Nuclear dimension of extensions of commutative C*-algebras by Kirchberg algebras
Samuel Evington, Abraham C. S. Ng, Aidan Sims +1
We compute the nuclear dimension of extensions of C*-algebras involving commutative unital quotients and stable Kirchberg ideals. We identify the finite directed graphs whose C*-al…
Tracially Complete C*-Algebras
José R. Carrión, Jorge Castillejos, Samuel Evington +4
We introduce a new class of operator algebras -- tracially complete C*-algebras -- as a vehicle for transferring ideas and results between C*-algebras and their tracial von Neumann…