3 papers
math.OA2025
Continuous fields of interval algebras
Laurent Cantier
This paper investigates and classifies a specific class of one-parameter continuous fields of C*-algebras, which can be seen as generalized AI-algebras. Building on the classificat…
math.OA2020
Unitary Cuntz semigroups of ideals and quotients
Laurent Cantier
We define a notion of ideal for objects in the category of abstract unitary Cuntz semigroups introduced in [3] and termed Cu. We show that the set of ideals of a Cu-s…
math.OA2020
A unitary Cuntz semigroup for C*-algebras of stable rank one
Laurent Cantier
We introduce a new invariant for C*-algebras of stable rank one that merges the Cuntz semigroup information together with the K-group information. This semigroup, termed the Cu…