On the stable rank of algebras of operator fields over metric spaces
| dc.creator | Ng, Ping Wong | |
| dc.creator | Sudo, Takahiro | |
| dc.date | 2002-05-10 | |
| dc.date.accessioned | 2026-07-07T04:48:26Z | |
| dc.date.available | 2026-07-07T04:48:26Z | |
| dc.description | Let G be a finitely generated, torsion-free, two-step nilpotent group. Let C^*(G) be the universal C^*-algebra of G. We show that acsr(C^*(G)) = acsr(C((\hat{G})_1)), where for a unital C^*-algebra A, acsr(A) is the absolute connected stable rank of A, and (\hat{G})_1 is the space of one-dimensional representations of G. For the case of stable rank, we have close results. In the process, we give a stable rank estimate for maximal full algebras of operator fields over a metric space. | |
| dc.description | 6 pages, amstex file | |
| dc.identifier | https://arxiv.org/abs/math/0205119 | |
| dc.identifier | http://arxiv.org/abs/math/0205119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64043 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L99 | |
| dc.title | On the stable rank of algebras of operator fields over metric spaces | |
| dc.type | text |