activity
20242026
collaborators

8 papers

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 $[1_A]_0…

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…

math.OA2026

C*-diagonals with Cantor spectrum in Cuntz algebras

Samuel Evington, Philipp Sibbel

We prove that there exists a C*-diagonal with Cantor spectrum in the Cuntz algebra for . Our method generalises to an uncountable family of UCT Ki…

math.OA2025

Principal Groupoid Models for Cuntz Algebras and their Dynamic Asymptotic Dimension

Samuel Evington, Philipp Sibbel

We compute the dynamic asymptotic dimension of the principal groupoid models for the Cuntz algebras for that have arisen from work of Winter and…

math.OA2025

Traces on the uniform tracial completion of -stable C*-algebras

Samuel Evington

The uniform tracial completion of a C*-algebra A with compact non-empty trace space T(A) is obtained by completing the unit ball with respect to the uniform 2-seminorm $\|a\|_{2,T(…

math.OA2025

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…