activity
20052026
most citedStability in the Cuntz semigroup of a commutative C*-algebra

24 citations · 188 across the 40 of their papers we have counts for

collaborators

41 papers

math.OA2026

A simple C-algebra which is not -injective

Andrew S. Toms

We exhibit a simple unital infinite-dimensional C-algebra which is not -injective, i.e., the canonical map is not injective. This…

math.OA2026

Subquadratic growth and uniform property \(Γ\)

Ethan Kessinger, Andrew S. Toms

We prove that every unital separable ASH algebra with subquadratic growth has uniform property whenever it has no nonzero finite-dimensional representations. When simple and no…

math.OA2026

Schubert Calculus and uniform property

Andrew S. Toms

We construct a simple, separable, unital, nuclear C-algebra without uniform property . The construction is based on a new topological obstruction arising from the Thom-Porte…

math.OA2025

Self-adjoint operators in Z-stable C-algebras with prescribed spectral data

Andrew S. Toms, Hao Wan

We consider the variety of spectral measures that are induced by quasitraces on the spectrum of a self-adjoint operator in a simple separable unital and Z-stable C-algebra. Thi…

math.OA2024

Contractible Cuntz classes in -stable C-algebras

Chrisil Ouseph, Andrew S. Toms

Let be a unital, simple and Z-stable C-algebra. We show that the set of positive elements in (resp. ) belonging to a fixed non-compact Cuntz class is contr…

math.OA2022

Higher homotopy groups of Cuntz classes

Andrew S. Toms

Let be a unital simple separable exact C-algebra which is approximately divisible and of real rank zero. We prove that the set of positive elements in with a fixed non-…