On the Decomposition Theorems for C*-Algebras

• 作者: Chunlan JIANG Liangqing LI Kun WANG
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2020,（6）
• 页码范围: 829-860
• 页数: 32页
• 语种: 英文
• DOI: 10.1007/s11401-020-0236-3

摘要

Elliott dimension drop interval algebra is an important class among all C*-algebras in the classification theory.Especially,they are building stones of AHD algebra and the latter contains all AH algebras with the ideal property of no dimension growth.In this paper,the authors will show two decomposition theorems related to the Elliott dimension drop interval algebra.Their results are key steps in classifying all AH algebras with the ideal property of no dimension growth.