2 citations · 2 across the 6 of their papers we have counts for
6 papers
Criteria for the existence of Schwartz Gabor frames over rational lattices
Ulrik Enstad, Hannes Thiel, Eduard Vilalta
We give an explicit criterion for a rational lattice in the time-frequency plane to admit a Gabor frame with window in the Schwartz class. The criterion is an inequality formulated…
Pure *-homomorphisms
Joan Bosa, Eduard Vilalta
We introduce and study a notion of pureness for *-homomorphisms and, more generally, for cpc. order-zero maps. After providing several examples of pureness, such as "-…
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*-…
Fraïssé Theory for Cuntz semigroups
Laurent Cantier, Eduard Vilalta
We introduce a Fraïssé theory for abstract Cuntz semigroups akin to the theory of Fraïssé categories developed by Kubiś. In particular, we show that any (Cuntz) Fraïssé category ha…
The Cuntz semigroup of a ring
Ramon Antoine, Pere Ara, Joan Bosa +2
For any ring , we introduce an invariant in the form of a partially ordered abelian semigroup built from an equivalence relation on the class of countably genera…
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…