61 citations · 276 across the 37 of their papers we have counts for
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Abstract Bivariant Cuntz Semigroups II
Ramon Antoine, Francesc Perera, Hannes Thiel
We previously showed that abstract Cuntz semigroups form a closed symmetric monoidal category. This automatically provides additional structure in the category, such as a compositi…
Isomorphisms of Algebras of Convolution Operators
Eusebio Gardella, Hannes Thiel
For , we study the isomorphism problem for the - and -convolution algebras associated to locally compact groups. While it is well known that not every grou…
C*-algebras of stable rank one and their Cuntz semigroups
Ramon Antoine, Francesc Perera, Leonel Robert +1
The uncovering of new structure on the Cuntz semigroup of a C*-algebra of stable rank one leads to several applications: We answer affirmatively, for the class of stable rank one C…
Inductive limits of semiprojective C*-algebras
Hannes Thiel
We prove closure properties for the class of C*-algebras that are inductive limits of semiprojective C*-algebras. Most importantly, we show that this class is closed under shape do…
Semiprojectivity and semiinjectivity in different categories
Hannes Thiel
Projectivity and injectivity are fundamental notions in category theory. We consider natural weakenings termed semiprojectivity and semiinjectivity, and study these concepts in dif…