Decomposition rank of subhomogeneous $C^*$-algebras
| dc.creator | Winter, Wilhelm | |
| dc.date | 2002-10-28 | |
| dc.date.accessioned | 2026-07-07T04:52:24Z | |
| dc.date.available | 2026-07-07T04:52:24Z | |
| dc.description | We analyze the decomposition rank (a notion of covering dimension for nuclear $C^*$-algebras introduced by E. Kirchberg and the author) of subhomogeneous $C^*$-algebras. In particular we show that a subhomogeneous $C^*$-algebra has decomposition rank $n$ if and only if it is recursive subhomogeneous of topological dimension $n$ and that $n$ is determined by the primitive ideal space. As an application, we use recent results of Q. Lin and N. C. Phillips to show the following: Let $A$ be the crossed product $C^*$-algebra coming from a compact smooth manifold and a minimal diffeomorphism. Then the decomposition rank of $A$ is dominated by the covering dimension of the underlying manifold. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210420 | |
| dc.identifier | http://arxiv.org/abs/math/0210420 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65451 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L85; 46L35 | |
| dc.title | Decomposition rank of subhomogeneous $C^*$-algebras | |
| dc.type | text |