5 citations · 7 across the 19 of their papers we have counts for
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Nowhere scattered C*-algebras
Hannes Thiel, Eduard Vilalta
We say that a C*-algebra is nowhere scattered if none of its quotients contains a minimal open projection. We characterize this property in various ways, by topological properties…
The Cuntz semigroup of unital commutative AI-algebras
Eduard Vilalta
We provide an abstract characterization for the Cuntz semigroup of unital commutative AI-algebras, as well as a characterization for abstract Cuntz semigroups of the form $\text{Ls…
Covering dimension of Cuntz semigroups II
Hannes Thiel, Eduard Vilalta
We show that the dimension of the Cuntz semigroup of a C*-algebra is determined by the dimensions of the Cuntz semigroups of its separable sub-C*-algebras. This allows us to remove…
A local characterization for the Cuntz semigroup of AI-algebras
Eduard Vilalta
We give a local characterization for the Cuntz semigroup of AI-algebras building upon Shen's characterization of dimension groups. Using this result, we provide an abstract charact…
Covering dimension of Cuntz semigroups
Hannes Thiel, Eduard Vilalta
We introduce a notion of covering dimension for Cuntz semigroups of C*-algebras. This dimension is always bounded by the nuclear dimension of the C*-algebra, and for subhomogeneous…