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arXiv · 1904.03690

A revised augmented Cuntz semigroup

Leonel Robert·Luis Santiago
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Abstract

We revise the construction of the augmented Cuntz semigroup functor used by the first author to classify inductive limits of 1-dimensional noncommutative CW complexes. The original construction has good functorial properties when restricted to the class of C*-algebras of stable rank one. The construction proposed here has good properties for all C*-algebras: We show that the augmented Cuntz semigroup is a stable, continuous, split exact functor, from the category of C*-algebras to the category of Cu-semigroups.

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Leonel Robert, Luis Santiago. 2019-04-07. A revised augmented Cuntz semigroup. https://arxiv.org/abs/1904.03690

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