4 citations · 8 across the 10 of their papers we have counts for
11 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…
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…
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.…
Tensorial Permanence of -Stability for Diagonal AH-Algebras
Apurva Seth
We study -stability for tensor products of diagonal AH-algebras with arbitrary C*-algebras. Our main result provides a characterization of -stability: for a diagonal AH-algeb…
The radius of comparison for actions of Z^d on simple AH algebras
M. Ali Asadi-Vasfi, Ilan Hirshberg, Apurva Seth
Given 0 \leq r' \leq r \leq \infty, and d \in N, we construct a simple unital AH algebra A with stable rank one, and a pointwise outer action α: Z^d \to Aut(A), such that rc(A)=r a…
Powers averaging for actions on -algebras
Tattwamasi Amrutam, Ilan Hirshberg, Apurva Seth
Given a unital -algebra discrete group and an action which leaves invariant and such that is simple, and a -co…