Classification of certain simple $C^*$-algebras with torsion in $K_1$
| dc.creator | Mygind, Jesper | |
| dc.date | 2000-06-05 | |
| dc.date.accessioned | 2026-07-07T04:35:44Z | |
| dc.date.available | 2026-07-07T04:35:44Z | |
| dc.description | We show that the Elliott invariant is a classifying invariant for the class of $C^*$-algebras that are simple unital infinite dimensional inductive limits of sequences of finite direct sums of building blocks of the form $$ \{f\in C(\T)\otimes M_n: f(x_i)\in M_{d_i}, i=1,2,...,N\}, $$ where $x_1,x_2,...,x_N\in\T$, $d_1,d_2,...,d_N$ are integers dividing $n$, and $M_{d_i}$ is embedded unitally into $M_n$. Furthermore we prove existence and uniqueness theorems for *-homomorphisms between such algebras and we identify the range of the invariant. | |
| dc.description | 71 pages | |
| dc.identifier | https://arxiv.org/abs/math/0006033 | |
| dc.identifier | http://arxiv.org/abs/math/0006033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59351 | |
| dc.subject | Operator Algebras | |
| dc.title | Classification of certain simple $C^*$-algebras with torsion in $K_1$ | |
| dc.type | text |