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arXiv · 2308.15792

Fraïssé Theory for Cuntz semigroups

Laurent Cantier·Eduard Vilalta
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Abstract

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.

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Laurent Cantier, Eduard Vilalta. 2023-09-05. Fraïssé Theory for Cuntz semigroups. https://arxiv.org/abs/2308.15792

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