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THE TRACE SPACE INVARIANT AND UNITARY GROUP OF C^＊—ALGEBRA

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摘要 LetAbeaunitalC*-algebra,n∈N∪{∞}.Itisprovedthattheisomorphism△n:Un0(A)/DUn0(A)→AffT(A)/△n0(π1(Un0(A)))isisometricforsomesuitabledistances.Asanapplication,theauthorhasthesplitexactsequence0→AffT(A)/△n0(π1(Un0(A)))iA→Un(A)/DUn(A)πA→Un(A)/Un0(A)→0withiAcontractive(andisometricifn=∞)undercertainconditionofA.

DOI 7dml8n7yjn/2090154

作者 FANGXIAOCHUN

机构地区不详

出处《数学年刊：B辑英文版》 2003年1期

关键词迹空间不变量酉群 C^＊代数同胚群等距群

分类 [理学][基础数学]

出版日期 2003年01月11日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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来源期刊

数学年刊：B辑英文版

数学年刊：B辑英文版

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迹空间不变量酉群 C^＊代数同胚群等距群

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