| 摘要: |
| 本文给出了局部拟对角扩张的定义并研究了它的性质. 利用类比的方法, 根据拟对角扩张所具有的一些性质, 研究局部拟对角扩张是否仍具有这些性质. 获得了局部拟对角扩张仍然可以保持拟对角扩张的一些性质的结果,同时还证明了局部AF代数的扩张是局部拟对角扩张. |
| 关键词: C*-代数 拟对角扩张C*-代数 拟对角扩张 |
| DOI： |
| 分类号:O177.5 |
| 基金项目: |
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| LOCALLY QUASIDIAGONAL EXTENSIONS OF C*-ALGEBRAS |
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SHI Chang-li, YAO Hong-liang
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School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing 210094, China
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| Abstract: |
| This paper introduce the concept of locally quasidiagonal extension of C*-algebras and give some basic properties. We use the method of analogy, based on some properties possessed by quasidiagonal extensions, we investigate whether local quasidiagonal extensions still retain these properties. We then show that an extension of a locally AF algebra by a locally AF algebra is a locally quasidiagonal extension. |
| Key words: C*-algebra quasidiagonal C*-algebra locally quasidiagonal extension |
