Bounded rank of C*-algebras
| dc.creator | Chigogidze, Alex | |
| dc.creator | Valov, Vesko | |
| dc.date | 2001-09-16 | |
| dc.date | 2002-04-07 | |
| dc.date.accessioned | 2026-07-07T04:43:23Z | |
| dc.date.available | 2026-07-07T04:43:23Z | |
| dc.description | We introduce a concept of the bounded rank (with respect to a positive constant) for unital C*-algebras as a modification of the usual real rank and present a series of conditions insuring that bounded and real ranks coincide. These observations are then used to prove that for a given $n$ and $K > 0$ there exists a separable unital C*-algebra $Z_{n}^{K}$ such that every other separable unital C*-algebra of bounded rank with respect to $K$ at most $n$ is a quotient of $Z_{n}^{K}$. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0109100 | |
| dc.identifier | http://arxiv.org/abs/math/0109100 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62200 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 | |
| dc.title | Bounded rank of C*-algebras | |
| dc.type | text |