The Cuntz semigroup of unital commutative AI-algebras

Abstract

We provide an abstract characterization for the Cuntz semigroup of unital commutative AI-algebras, as well as a characterization for abstract Cuntz semigroups of the form Lsc (X,N) for some T1-space X. In our investigations, we also uncover new properties that the Cuntz semigroup of all AI-algebras satisfies.

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