Dimensions and Integral Extensions
碩士 === 國立中山大學 === 應用數學系研究所 === 92 === Recently, Dawson and Feinstein showed that a Banach algebra integral extension B of a commutative Banach algebra A of topological stable rank one is again of topological stable rank one. In this thesis, we provide a partial converse to this statement: If an...
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| Format: | Others |
| Language: | en_US |
| Published: |
2004
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| Online Access: | http://ndltd.ncl.edu.tw/handle/75719021497509230408 |
| Summary: | 碩士 === 國立中山大學 === 應用數學系研究所 === 92 === Recently, Dawson and Feinstein showed that a Banach algebra integral extension B of a commutative
Banach algebra A of topological stable rank one is again of topological stable rank
one. In this thesis, we provide a partial converse to this statement: If an Arens-Hoffman extension
A® of a commutative C*-algebra A has topological stable rank one then A has topological
stable rank one.
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