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arXiv · 2107.07587

Regular Ideals of Locally-Convex Higher-Rank Graph Algebras

Timothy Schenkel
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Abstract

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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Timothy Schenkel. 2021-07-15. Regular Ideals of Locally-Convex Higher-Rank Graph Algebras. https://arxiv.org/abs/2107.07587

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