Andrew S. Toms

activity

20242026

collaborators

4 papers

math.OA2026

Subquadratic growth and uniform property $Î$

Ethan Kessinger, Andrew S. Toms

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

math.OA2026

Schubert Calculus and uniform property $I^$

Andrew S. Toms

We construct a simple, separable, unital, nuclear C $^{*}$ -algebra without uniform property $I^$ . The construction is based on a new topological obstruction arising from the Thom-Port…

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 $Z$ -stable C $^{*}$ -algebras

Chrisil Ouseph, Andrew S. Toms

Let $A$ be a unital, simple and Z-stable C $^{*}$ -algebra. We show that the set of positive elements in $A$ (resp. $A \otimes K$ ) belonging to a fixed non-compact Cuntz class is contr…

Subquadratic growth and uniform property \(Î\)

Schubert Calculus and uniform property I^

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

Contractible Cuntz classes in Z-stable C∗-algebras

Subquadratic growth and uniform property \(Î\)

Schubert Calculus and uniform property $I^$

Self-adjoint operators in Z-stable C $^{*}$ -algebras with prescribed spectral data

Contractible Cuntz classes in $Z$ -stable C $^{*}$ -algebras