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arXiv · 2104.08165

The Cuntz semigroup of unital commutative AI-algebras

Eduard Vilalta
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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 $\text{Lsc} (X,\overline{\mathbb{N}})$ for some $T_1$-space $X$. In our investigations, we also uncover new properties that the Cuntz semigroup of all AI-algebras satisfies.

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Eduard Vilalta. 2021-04-16. The Cuntz semigroup of unital commutative AI-algebras. https://arxiv.org/abs/2104.08165

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