# Uniformly PoM-Based Cuntz semigroups and approximate intertwinings

@inproceedings{Cantier2021UniformlyPC, title={Uniformly PoM-Based Cuntz semigroups and approximate intertwinings}, author={Laurent Cantier}, year={2021} }

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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The unitary Cuntz semigroup on the classification of non-simple C*-algebras

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This paper argues that the unitary Cuntz semigroup, introduced in [9] and termed Cu1, contains crucial information regarding the classification of non-simple C-algebras. We exhibit two (non-simple)… Expand

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