纯迹数为2的单维数群的非直极限
Non-direct limit of simple dimension groups with finitely many pure traces
摘要：
存在简单的维数组，不能表示为简单的直接限制，甚至近似可分的维数组，每一个都有许多纯迹，我们可以指定它的无限维Choquet单形的迹;一个更激烈的性质是注意到。另一方面，一个非常简单的论证表明，如果$G$是一个$p$ -可分的单维群（对于某个整数$p>1$），那么它可以表示为这样一个直接极限。我们还扩大了AF（和稍微更一般的）C*-代数的始对象的类。
英文摘要：
There exist simple dimension groups which cannot be expressed as a direct limit of simple, or even approximately divisible dimension groups, each with finitely many pure traces, and we can specify its infinite-dimensional Choquet simplex of traces; a more drastic property is noted. On the other hand, a very easy argument shows that if $G$ is a $p$-divisible simple dimension group (for some integer $p>1$), then it can be expressed as such a direct limit. We also enlarge the class of initial objects for AF (and slightly more general) C*-algebras.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
