2023/08/30 by Laurent Cantier, Cantier, Laurent, Eduard Vilalta +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Category Theory (math.CT) #FOS: Mathematics #Operator Algebras (math.OA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2308.15792
openalex publication_date 2023/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a Fraïssé theory for abstract Cuntz semigroups akin to the theory of Fraïssé categories developed by Kubiś. In particular, we show that any (Cuntz) Fraïssé category has a unique Fraïssé limit which is both universal and homogeneous. We also give several examples of such categories and compute their Fraïssé limits. During our investigations, we develop a general theory of Cauchy sequences and intertwinings in the category Cu.