✦ LIBER ✦
Exponential Rank of C*-Algebras with Real Rank Zero and the Brown-Pedersen Conjectures
✍ Scribed by H.X. Lin
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 314 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
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 trivial (K_{1})-group then its multiplier algebra has real rank zero. If (A) is a (\sigma)-unital stable (C^{})-algebra with stable rank one, we show that its multiplier algebra has real rank zero if and only if (A) has real rank zero and (K_{1}(A)=0). (4) 1993 Academic Press. Inc.