不可分C ~*-代数的Voiculescu定理
Voiculescu's Theorem for Nonseparable C*-algebras
摘要：
我们证明了Voiculescu的非交换版本的Weyl-von Neumann定理可以扩展到所有（不一定是可分的）单位的，可分表示的C*-代数的密度字符严格小于$\mathfrak{p}$。此外，我们表明，Voiculescu的定理一贯不推广到C*-代数的较大密度字符。
英文摘要：
We prove that Voiculescu's noncommutative version of the Weyl-von Neumann theorem can be extended to all (not necessarily separable) unital, separably representable C*-algebras whose density character is strictly smaller than $\mathfrak{p}$. We show moreover that Voiculescu's theorem consistently does not generalize to C*-algebras of larger density character.
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