局部凸高阶图代数的正则理想
Regular Ideals of Locally-Convex Higher-Rank Graph Algebras
摘要：
给出了局部凸Kumjian-Pask代数的基本、分次、正则理想的点集描述。我们还证明了条件（B）是保持时，采取商的基本，分次，正则理想。进一步证明了当一个局部凸的行有限k-图满足条件（B）时，所有正则理想都是分次的。然后，我们证明了同样的事情也适用于局部凸k-图C* 代数中的规范不变的正则理想。
英文摘要：
We give a vertex set description for basic, graded, regular ideals of locally-convex Kumjian-Pask Algebras. We also show that Condition (B) is preserved when taking the quotient by a basic, graded, regular ideal. We further show that when a locally-convex, row-finite k-graph satisfies Condition (B), all regular ideals are graded. We then show the same things hold for gauge-invariant, regular ideals in locally-convex k-graph C*-algebras.
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