论文标题
渐近性透明近似$ {\ rm c^*} $ - 代数的可划分属性
Divisible properties for asymptotically tracially approximation ${\rm C^*}$-algebras
论文作者
论文摘要
我们表明,$ {\ rm c^*} $的以下可划分属性 - $ \ nathcal {p} $中的代数是由简单的unital $ {\ rm c^*} $继承的,在$ \ \ m nircal {$ $ $ $ $:$(1)$($:$:$:$:$:$:$:$:$:$(MO)$(MON)中,$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$:$(MOR) $(m,n)$ - 可划分。
We show that the following divisible properties of the ${\rm C^*}$-algebras in a class $\mathcal{P}$ are inherited by simple unital ${\rm C^*}$-algebras in the class of asymptotically tracially in $\mathcal{P}$: $(1)$ $m$-almost divisible, $(2)$ weakly $(m, n)$-divisible.