| 张一凡.一类特定的AF-代数[J].数学年刊A辑,2015,36(1):21~30 |
| 一类特定的AF-代数 |
| One Certain Class of AF-Algebras |
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| DOI： |
| 中文关键词: AF-代数, 有限维值域, K-理论, RFD $C^*$-代数 |
| 英文关键词:AF-Algebras, Finite dimensional range, K-Theory, RFD $C^*$-algebras |
| 基金项目:本文受到厦门理工学院引进人才项目 (No.YKJ10017R) 的资助. |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
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