2 citations · 3 across the 4 of their papers we have counts for
6 papers · 1 filter
Extensions of pure C*-algebras
Francesc Perera, Hannes Thiel, Eduard Vilalta
Given a closed ideal in a C*-algebra , we show that is pure if and only if and are pure. More generally, we study permanence of comparison and divisibility pro…
Rigidity of pseudofunction algebras of ample groupoids
Eusebio Gardella, Mathias Palmstrøm, Hannes Thiel
We show that a Hausdorff, ample groupoid can be completely recovered from the -norm completion of . More generally, we show that this is also the…
Real rank of some multiplier algebras
Hannes Thiel
We show that there exists a separable, nuclear C*-algebra with real rank zero and trivial K-theory such that its multiplier and corona algebra have real rank one. This disproves tw…
Ranks of soft operators in nowhere scattered C*-algebras
M. Ali Asadi-Vasfi, Hannes Thiel, Eduard Vilalta
We show that for C*-algebras with the Global Glimm Property, the rank of every operator can be realized as the rank of a soft operator, that is, an element whose hereditary sub-C*-…
Soft operators in C*-algebras
Hannes Thiel, Eduard Vilalta
We say that a C*-algebra is soft if it has no nonzero unital quotients, and we connect this property to the Hjelmborg-Rørdam condition for stability and to property (S) of Ortega-P…
Traces on ultrapowers of C*-algebras
Ramon Antoine, Francesc Perera, Leonel Robert +1
Using Cuntz semigroup techniques, we characterize when limit traces are dense in the space of all traces on a free ultrapower of a C*-algebra. More generally, we consider density o…