7 papers · 1 filter
Topological full groups, invertible isometries, and automorphisms of groupoid algebras
Eusebio Gardella, Mathias Palmstrøm, Hannes Thiel
We show that the topological full group of a Hausdorff ample groupoid with compact unit space coincides with the group of homotopy classes of invertible isometries in pseudofunctio…
Uniqueness theorems for -operator graph algebras
Eusebio Gardella, Siri Tinghammar
We continue the study of -operator algebras associated with directed graphs initiated by Cortiñas and RodrÃguez, and we establish -analogs of both the gauge-invariant a…
Asymptotic lifting for completely positive maps
Marzieh Forough, Eusebio Gardella, Klaus Thomsen
Let and be -algebras with separable, let be an ideal in , and let be a completely positive contractive linear map. We show that there is…
Prime and semiprime Lie ideals in C*-algebras
Eusebio Gardella, Kan Kitamura, Hannes Thiel
Using the theory of Dixmier ideals developed in previous work, we show that every semiprime Lie ideal in a C*-algebra arises as the full normalizer subspace of a semiprime two-side…
Rigidity of pseudofunction algebras of ample groupoids
Eusebio Gardella, Mathias Palmstrøm, Hannes Thiel
We show that a Hausdorff, ample groupoid can be completely recovered from the -norm completion of . More generally, we show that this is also the…
Fully noncentral Lie ideals and invariant additive subgroups in rings
Eusebio Gardella, Tsiu-Kwen Lee, Hannes Thiel
We prove conditions ensuring that a Lie ideal or an invariant additive subgroup in a ring contains all additive commutators. A crucial assumption is that the subgroup is fully nonc…