In this article, examples are given to prove that the graded scaled ordered K-group is not the complete invariant for a C\*-algebra in the class of unital separable nuclear C\*-algebras of real rank zero and stable rank one, even for a C\*-algebra in the subclass which consists of those real rank ze
โฆ LIBER โฆ
Reduction of real rank in inductive limits ofC*-algebras
โ Scribed by Bruce Blackadar; Ola Bratteli; George A. Elliott; Alexander Kumjian
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 748 KB
- Volume
- 292
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
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## Abstract Let __A__~โ~(๐ป) denote the set of functions belonging to the disc algebra having real Fourier coefficients. We show that __A__~โ~(๐ป) 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