The unitary Cuntz semigroup on the classification of non-simple C*-algebras
Operator Algebras
2022-10-25 v3
Abstract
This paper argues that the unitary Cuntz semigroup, introduced in [10] and termed Cu, contains crucial information regarding the classification of non-simple C-algebras. We exhibit two (non-simple) C-algebras that agree on their Cuntz semigroups, termed Cu, and their K-groups and yet disagree at level of their unitary Cuntz semigroups. In the process, we establish that the unitary Cuntz semigroup contains rigorously more information about non-simple C-algebras than Cu and K alone.
Cite
@article{arxiv.2111.06926,
title = {The unitary Cuntz semigroup on the classification of non-simple C*-algebras},
author = {Laurent Cantier},
journal= {arXiv preprint arXiv:2111.06926},
year = {2022}
}
Comments
23 pages - Small changes made for acceptation in Journal of Journal of Mathematical Analysis and Applications