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 Aren...

Full description

Bibliographic Details
Main Authors: Chung-Wen Tsai, 蔡宗彣
Other Authors: Ngai-Ching Wong
Format: Others
Language:en_US
Online Access:http://ndltd.ncl.edu.tw/handle/22674301386088375053
id ndltd-TW-092NSYS5507031
record_format oai_dc
spelling ndltd-TW-092NSYS55070312016-06-08T04:13:59Z http://ndltd.ncl.edu.tw/handle/22674301386088375053 Dimensions and Integral Extensions 維度與整擴張 Chung-Wen Tsai 蔡宗彣 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. Ngai-Ching Wong 黃毅青 學位論文 ; thesis 18 en_US
collection NDLTD
language en_US
format Others
sources NDLTD
description 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.
author2 Ngai-Ching Wong
author_facet Ngai-Ching Wong
Chung-Wen Tsai
蔡宗彣
author Chung-Wen Tsai
蔡宗彣
spellingShingle Chung-Wen Tsai
蔡宗彣
Dimensions and Integral Extensions
author_sort Chung-Wen Tsai
title Dimensions and Integral Extensions
title_short Dimensions and Integral Extensions
title_full Dimensions and Integral Extensions
title_fullStr Dimensions and Integral Extensions
title_full_unstemmed Dimensions and Integral Extensions
title_sort dimensions and integral extensions
url http://ndltd.ncl.edu.tw/handle/22674301386088375053
work_keys_str_mv AT chungwentsai dimensionsandintegralextensions
AT càizōngwén dimensionsandintegralextensions
AT chungwentsai wéidùyǔzhěngkuòzhāng
AT càizōngwén wéidùyǔzhěngkuòzhāng
_version_ 1718298092297519104