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-  2018 

拟对角扩张Cuntz 半群的某些性质
Certain Properties of Cuntz Semigroup of the Quasidiagonal Extension

DOI: 10.16205/j.cnki.cama.2018.0036

Keywords: $C^*${-}algebras, Quasidiagonal extension, Cuntz semigroup
$C^*${-}algebras
, Quasidiagonal extension, Cuntz semigroup

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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.

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