4 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…
Dynamical comparison for local homeomorphisms
Shirly Geffen, Shanshan Hua, Julian Kranz
We prove dynamical comparison for Deaconu--Renault groupoids associated to minimal surjective non-injective local homeomorphisms of compact metrizable spaces with finite Lebesgue c…
Cartan subalgebras in self-similar graph -algebras
Dawn Archey, Anna Duwenig, Shanshan Hua +3
For a self-similar graph , we find a distinguished subgroupoid of the associated path groupoid -- the symmetric cycline subgroupoid $\mathcal{S}_{\text{…
K-stability of Z-stable C*-algebras
Shanshan Hua
We provide a shorter new proof of the fact that Z-stable C*-algebras are K1-surjective using the Rørdam-Winter picture of the Jiang-Su algebra Z. Consequently, we recapture the K-s…