Fraïssé theory for Cuntz semigroups
We introduce a Fraïssé theory for abstract Cuntz semigroups akin to the theory of Fraïssé categories developed by Kubis. 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 c...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/449139 |
| Acesso em linha: | https://hdl.handle.net/2117/449139 https://dx.doi.org/10.1016/j.jalgebra.2024.05.052 |
| Access Level: | acceso abierto |
| Palavra-chave: | Fraïssé theory Cuntz semigroup Cauchy sequences Cu-distance Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Resumo: | We introduce a Fraïssé theory for abstract Cuntz semigroups akin to the theory of Fraïssé categories developed by Kubis. 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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