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- 2018
拟对角扩张Cuntz 半群的某些性质
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Abstract:
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.
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.