A revised augmented Cuntz semigroup
Operator Algebras
2019-04-09 v1
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.
Keywords
Cite
@article{arxiv.1904.03690,
title = {A revised augmented Cuntz semigroup},
author = {Leonel Robert and Luis Santiago},
journal= {arXiv preprint arXiv:1904.03690},
year = {2019}
}