TY - JOUR AU - Robert, Leonel AU - Santiago, Luis PY - 2021/02/17 Y2 - 2024/03/29 TI - A revised augmented Cuntz semigroup JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 127 IS - 1 SE - Articles DO - 10.7146/math.scand.a-121016 UR - https://www.mscand.dk/article/view/121016 SP - 131-160 AB - <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> ER -