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arXiv 1111.1592math.OAmath.DS
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单图代数的几何分类

Geometric classification of simple graph algebras

Adam P. W. Sørensen

摘要:

受Franks对有限型不可约移位的分类的启发,我们给出了一个关于图的允许移动的简短列表,该列表保持了相关C* 代数的稳定同构类。我们表明,如果两个图有稳定同构和简单的酉代数,那么我们可以使用这些移动到另一个。

英文摘要:

Inspired by Franks' classification of irreducible shifts of finite type we provide a short list of allowed moves on graphs that preserves the stable isomorphism class of the associated C*-algebras. We show that if two graphs have stably isomorphic and simple unital algebras then we can use these moves to transform one into the other.

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。

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