Extensions of C(X) by Simple C*-algebras of real rank zero
β Scribed by Lin, Huaxin
- Book ID
- 118225274
- Publisher
- John Hopkins University Press
- Year
- 1997
- Tongue
- English
- Weight
- 750 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0002-9327
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π SIMILAR VOLUMES
We show that a separable purely infinite C Γ -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 Γ ! K 0 Γ°I =JΓ is surjective for all closed two-sided ideals J H I in the C Γalgebra. It follows in particular th
We show that every \(C^{*}\)-algebra with real rank zero has exponential rank \(\leqslant 1+\varepsilon\). Consequently, \(C^{*}\)-algebras with real rank zero have the property weak (FU). We also show that if \(A\) is a \(\sigma\)-unital \(C^{*}\)-algebra with real rank zero, stable rank one, and t