On the Range of Certain ASH Algebras of Real Rank Zero

作     者：Qingnan AN Zhichao LIU Qingnan AN;Zhichao LIU

作者机构：School of Mathematics and StatisticsNortheast Normal UniversityChangchun 130024China School of Mathematical SciencesDalian University of TechnologyDalian 116024LiaoningChina 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2023年第44卷第2期

页      面：279-288页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Nos.12101113,12101102,11920101001) the Fundamental Research Funds for the Central Universities(Nos.2412021QD001,DUT20RC(3)064)。 

主　　题：Classification AD algebra Range Reduction 

摘      要：In this paper,the authors consider the range of a certain class of ASH algebras in[An,Q.,Elliott,G.A.,Li,Z.and Liu,Z.,The classification of certain ASH C^(*)-algebras of real rank zero,J.Topol.Anal.,14(1),2022,183–202],which is under the scheme of the Elliott program in the setting of real rank zero C^(*)-algebras.As a reduction theorem,they prove that all these ASH algebras are still the AD algebras studied in[Dadarlat,M.and Loring,T.A.,Classifying C^(*)-algebras via ordered,mod-p K-theory,Math.Ann.,305,1996,601–616].