Regular Ideals of Locally-Convex Higher-Rank Graph Algebras
Operator Algebras
2021-07-19 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2107.07587,
title = {Regular Ideals of Locally-Convex Higher-Rank Graph Algebras},
author = {Timothy Schenkel},
journal= {arXiv preprint arXiv:2107.07587},
year = {2021}
}