5 citations · 7 across the 19 of their papers we have counts for
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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…
Nowhere scattered multiplier algebras
Eduard Vilalta
We study sufficient conditions under which a nowhere scattered C*-algebra has a nowhere scattered multiplier algebra , that is, we study when h…
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…