TY - JOUR
AU - Robert, Leonel
AU - Santiago, Luis
PY - 2021/02/17
Y2 - 2021/05/16
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 -