61 citations · 276 across the 37 of their papers we have counts for
6 papers · 1 filter
Semiprime ideals in C*-algebras
Eusebio Gardella, Kan Kitamura, Hannes Thiel
We show that a not necessarily closed ideal in a C*-algebra is semiprime if and only if it is idempotent, if and only if it is closed under square roots of positive elements. Among…
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*-…
Prime ideals in C*-algebras and applications to Lie theory
Eusebio Gardella, Hannes Thiel
We show that every proper, dense ideal in a C*-algebra is contained in a prime ideal. It follows that a subset generates a C*-algebra as a not necessarily closed ideal if and only…
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…
Rings and C*-algebras generated by commutators
Eusebio Gardella, Hannes Thiel
We show that a unital ring is generated by its commutators as an ideal if and only if there exists a natural number such that every element is a sum of products of pairs of…