Covering Dimension for Nuclear C*-Algebras II
| dc.creator | Winter, Wilhelm | |
| dc.date | 2001-08-15 | |
| dc.date.accessioned | 2026-07-07T04:42:58Z | |
| dc.date.available | 2026-07-07T04:42:58Z | |
| dc.description | The completely positive rank is an analogue of topological covering dimension, defined for nuclear C*-algebras via completely positive approximations. These may be thought of as simplicial approximations of the algebra, which leads to the concept of piecewise homogeneous maps and a notion of noncommutative simplicial complexes. We introduce a technical variation of the completely positive rank and show that the two theories coincide in many important cases. Furthermore we analyze some of their properties; in particular we show that both theories behave nicely with respect to ideals and that they coincide with covering dimension of the spectrum for certain continuous trace C*-algebras. | |
| dc.identifier | https://arxiv.org/abs/math/0108102 | |
| dc.identifier | http://arxiv.org/abs/math/0108102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62019 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.title | Covering Dimension for Nuclear C*-Algebras II | |
| dc.type | text |