On the Decomposition Theorems for C*-Algebras

• 作 者: Chunlan JIANG Liangqing LI Kun WANG
• 机 构: College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050024,China;Dep
• 出 处: 数学年刊B辑（英文版）
• 发表日期: 2020年6期
• 关键词: C*-algebra Elliott dimension drop interval algebra Decomposition theorem Spectra

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.