F. Perera

collaborators

3 papers

math.OA2025

Centrally pure C*-algebras

Francesc Perera, Hannes Thiel, Eduard Vilalta

We show that a separable C*-algebra $A$ is $Z$ -stable if and only if its uncorrected central sequence algebra $A^{'} \cap A_{U}$ is pure, if and only if Kirchberg'…

math.OA2025

Extensions of pure C*-algebras

Francesc Perera, Hannes Thiel, Eduard Vilalta

Given a closed ideal $I$ in a C*-algebra $A$ , we show that $A$ is pure if and only if $I$ and $A / I$ are pure. More generally, we study permanence of comparison and divisibility pro…

math.OA2024

Pure C*-algebras

Ramon Antoine, Francesc Perera, Hannes Thiel +1

We demonstrate that pure C*-algebras form a robust class by proving that pureness follows from very weak comparison and divisibility properties. Using this, we show that every simp…