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Classification of Homomorphisms from C (X) to Simple C *-Algebras of Real Rank Zero

✍ Scribed by Gong, Guihua; Lin, Huaxin


Book ID
120091517
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2000
Tongue
English
Weight
453 KB
Volume
16
Category
Article
ISSN
1439-7617

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Purely infinite C*-algebras of real rank
✍ Pasnicu, Cornel; RΓΈrdam, Mikael πŸ“‚ Article πŸ“… 2007 πŸ› Walter de Gruyter GmbH & Co. KG 🌐 English βš– 219 KB

We show that a separable purely infinite C Γƒ -algebra is of real rank zero if and only if its primitive ideal space has a basis consisting of compact-open sets and the natural map K 0 Γ°I Þ ! K 0 Γ°I =JÞ is surjective for all closed two-sided ideals J H I in the C Γƒalgebra. It follows in particular th