@article{Robert_Santiago_2021, title={A revised augmented Cuntz semigroup}, volume={127}, url={https://www.mscand.dk/article/view/121016}, DOI={10.7146/math.scand.a-121016}, abstractNote={<p>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.</p>}, number={1}, journal={MATHEMATICA SCANDINAVICA}, author={Robert, Leonel and Santiago, Luis}, year={2021}, month={Feb.}, pages={131–160} }