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
Hauptverfasser:	BROWN, LAWRENCE G., PEDERSEN, GERT K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Approximation Graphical evaluation and review technique Mathematical theorems Mathematics Morphisms Operator theory Quotients Unit ball Von Neumann algebra
Online-Zugang:	Volltext
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