Hannes Thiel

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

The Global Glimm Property for C*-algebras of topological dimension zero

Ping Wong Ng, Hannes Thiel, Eduard Vilalta

We show that a C*-algebra with topological dimension zero has the Global Glimm Property (every hereditary subalgebra contains an almost full nilpotent element) if and only if it is…

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…