| 范庆斋,方小春,梁月亮.拟对角扩张Cuntz 半群的某些性质[J].数学年刊A辑,2018,(4):449~454 |
| 拟对角扩张Cuntz 半群的某些性质 |
| Certain Properties of Cuntz Semigroup of the Quasidiagonal Extension |
| Received:April 28, 2016 Revised:December 26, 2016 |
| DOI：10.16205/j.cnki.cama.2018.0036 |
| 中文关键词: $C^*${-}algebras, Quasidiagonal extension, Cuntz semigroup |
| 英文关键词:$C^*${-}algebras, Quasidiagonal extension, Cuntz semigroup |
| 基金项目: |
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| 中文摘要: |
| 设 $
0 \xrightarrow{}J \xrightarrow{
} A \xrightarrow{ }B
\xrightarrow{} 0$ 是一个拟对角扩张. 作者证明如果$J$和$B$具有Cuntz半群的某些性质,
则$A$也具有相同的半群性质. |
| 英文摘要: |
| Let $ 0 \xrightarrow{}J \xrightarrow{
} A \xrightarrow{ }B
\xrightarrow{} 0$ be a quasidiagonal extension,
The authors show that some Cuntz semigroup properties are closed
under passing to quasidiagonal extension, i.e., if $J$ and $B$ have some Cuntz semigroup properties
then $A$ has the same Cuntz semigroup properties. |
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