IDEAL STRUCTURE AND C-ALGEBRAS OF LOW RANK
We explore various constructions with ideals in a C*-algebra A in relation to the notions of real rank, stable rank and extremal richness. In particular we investigate the maximum ideals of low rank. And we investigate the relationship between existence of infinite or properly infinite projections i...
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| Veröffentlicht in: | Mathematica scandinavica 2007-01, Vol.100 (1), p.4-33 |
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| container_title | Mathematica scandinavica |
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| creator | BROWN, LAWRENCE G. PEDERSEN, GERT K. |
| description | We explore various constructions with ideals in a C*-algebra A in relation to the notions of real rank, stable rank and extremal richness. In particular we investigate the maximum ideals of low rank. And we investigate the relationship between existence of infinite or properly infinite projections in an extremally rich C*-algebra and non-existence of ideals or quotients of stable rank one. |
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| ispartof | Mathematica scandinavica, 2007-01, Vol.100 (1), p.4-33 |
| issn | 0025-5521 1903-1807 |
| language | eng |
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| source | Jstor Complete Legacy; tidsskrift.dk; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection; JSTOR Mathematics & Statistics |
| subjects | Algebra Approximation Graphical evaluation and review technique Mathematical theorems Mathematics Morphisms Operator theory Quotients Unit ball Von Neumann algebra |
| title | IDEAL STRUCTURE AND C-ALGEBRAS OF LOW RANK |
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