一类特定的AF-代数

One Certain Class of AF-Algebras

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摘要讨论了一类特定的AF-代数,其上的恒等同态可以用一列有限维值域的自同态逐点逼近.给出了这类AF-代数的K-理论刻画,并给出了一个不在这一类中的RFD AF-代数的例子. In this paper,a certain class of AF-algebras is discussed in which the identity morphism can be pointwise approximated by a sequence of endomorphisms with finite dimensional range.The author gives a K-theoretical characterization of this kind of AF-algebras,and gives an example which is an RFD AF-algebra but not in this class.

作者张一凡

机构地区厦门理工学院应用数学系

出处《数学年刊（A辑）》 CSCD 北大核心 2015年第1期21-30,共10页 Chinese Annals of Mathematics

基金厦门理工学院引进人才项目(No.YKJ10017R)的资助

关键词 AF-代数有限维值域 K-理论 RFD C~＊-代数 AF-Algebras Finite dimensional range K-Theory RFD C＊-algebras

分类号 O153 [理学—基础数学]

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参考文献13

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数学年刊（A辑）

2015年第1期

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一类特定的AF-代数

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