4 papers
On the Nielsen-Thomsen sequence
Laurent Cantier
The Nielsen-Thomsen sequence plays a pivotal role in refining invariants for C-algebras beyond the Elliott classification framework. This paper revisits the sequence, introduci…
Tracially reflexive C*-algebras
Laurent Cantier
Motivated by a question of L. Robert, asking whether for any separable C*-algebra A, we introduce and initiate the study of \emph{tracially reflexive…
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…
Towards a classification of unitary elements of C*-algebras
Laurent Cantier
In [5] the author conjectures and partially shows that the Cuntz semigroup classifies unitary elements of unital AF-algebras. We provide a complete proof by addressing the existenc…