A local characterization for the Cuntz semigroup of AI-algebras
Eduard Vilalta
TL;DR
This paper offers a local and abstract characterization of the Cuntz semigroup for AI-algebras, extending Shen's work on dimension groups to better understand their algebraic structure.
Contribution
It introduces a new local characterization for the Cuntz semigroup of AI-algebras, building upon and extending Shen's dimension group characterization.
Findings
Provides a local characterization for the Cuntz semigroup of AI-algebras.
Offers an abstract characterization for the Cuntz semigroup of AI-algebras.
Extends Shen's characterization of dimension groups.
Abstract
We give a local characterization for the Cuntz semigroup of AI-algebras building upon Shen's characterization of dimension groups. Using this result, we provide an abstract characterization for the Cuntz semigroup of AI-algebras.
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