THE STABLE AND THE REAL RANK OF -ABSORBING C*-ALGEBRAS
✍ Scribed by RØRDAM, MIKAEL
- Book ID
- 120587998
- Publisher
- World Scientific Publishing Company
- Year
- 2004
- Tongue
- English
- Weight
- 301 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0129-167X
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📜 SIMILAR VOLUMES
## Abstract Let __A__~ℝ~(𝔻) denote the set of functions belonging to the disc algebra having real Fourier coefficients. We show that __A__~ℝ~(𝔻) has Bass and topological stable ranks equal to 2, which settles the conjecture made by Brett Wick in [18]. We also give a necessary and sufficient conditi
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