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

Fan, Qingzhai, Wang, Jiahui

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.

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