Corpus ID: 236088049

Uniformly PoM-Based Cuntz semigroups and approximate intertwinings

  title={Uniformly PoM-Based Cuntz semigroups and approximate intertwinings},
  author={Laurent Cantier},
We study topological aspects of the category of abstract Cuntz semigroups, termed Cu. We provide a suitable setting in which we are able to uniformly control how to approach an element of a Cusemigroup by a rapidly increasing sequence. This approximation induces a semimetric on the set of Cumorphisms, generalizing Cu-metrics that had been constructed in the past for some particular cases. Further, we develop an approximate intertwining theory for the category Cu. Finally, we give several… Expand
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