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arXiv · 2308.15792

Fra\"iss\'e Theory for Cuntz semigroups

Laurent Cantier·Eduard Vilalta
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Abstract

We introduce a Fra\"iss\'e theory for abstract Cuntz semigroups akin to the theory of Fra\"iss\'e categories developed by Kubi\'s. In particular, we show that any (Cuntz) Fra\"iss\'e category has a unique Fra\"iss\'e limit which is both universal and homogeneous. We also give several examples of such categories and compute their Fra\"iss\'e 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. 2023-08-30. Fra\"iss\'e Theory for Cuntz semigroups. https://arxiv.org/abs/2308.15792

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