Fra\"iss\'e Theory for Cuntz semigroups
Operator Algebras
2023-09-07 v2 Category Theory
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.
Keywords
Cite
@article{arxiv.2308.15792,
title = {Fra\"iss\'e Theory for Cuntz semigroups},
author = {Laurent Cantier and Eduard Vilalta},
journal= {arXiv preprint arXiv:2308.15792},
year = {2023}
}
Comments
40 pages - minor changes