与自相似映射相关的C* 代数-代数的核的理想
Ideals of the core of C*-algebras associated with self-similar maps
摘要：
在一定条件下，给出了与自相似映射相关联的C* 代数-代数的核的理想的完全分类。任何理想都完全由与自相似集K的系数代数C（K）的交决定。K的闭子集由自相似映射的奇异性结构描述。特别地，核是简单的当且仅当自相似映射没有分支点。核心的矩阵表示基本上用于证明分类。
英文摘要：
We give a complete classification of the ideals of the core of the C*-algebras associated with self-similar maps under a certain condition. Any ideal is completely determined by the intersection with the coefficient algebra C(K) of the self-similar set K. The corresponding closed subset of K is described by the singularity structure of the self-similar map. In particular the core is simple if and only if the self-similar map has no branch point. A matrix representation of the core is essentially used to prove the classification.
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。
