| 摘要: |
| 这篇文章介绍了C*代数的局部拟对角扩张的概念并给出了一些基础的性质。
我们展示了如果一个局部拟对角扩张的理想和商是拟对角的或者是稳定有限的，那么扩张代数也是拟对角的或稳定有限的。
我们然后展示了一个由局部AF代数通过另一个局部AF代数生成的扩张是局部拟对角扩张。 |
| 关键词: C*代数，拟对角C*代数，局部拟对角扩张 |
| DOI： |
| 分类号:O177.5 |
| 基金项目: |
|
| Locally quasidiagonal extensions of C*-algebras |
|
shichangli, yaohongliang
|
|
Nanjing University of Science and Technology
|
| Abstract: |
| This paper introduced the concept of locally quasidiagonal extension of C*-algebras and give some basic properties.
We show that if the ideals and quotients of a locally quasidiagonal extension are quasidiagonal or stably finite, then the extension algebra is also quasidiagonal or stably finite.
We then show that a extension of a locally AF algebra by a locally AF algebra is also a locally quasidiagonal extension. |
| Key words: C*-algebra, quasidiagonal C*-algebra, locally quasidiagonal extension |
