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New York Journal of Mathematics
Volume 28 (2022), 1581-1595

  

Tim Schenkel

Regular ideals of locally-convex higher-rank graph algebras

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Published: November 30, 2022.
Keywords: k-Graph Algebras, k-Graph C*-Algebras, Regular Ideals, Higher Rank Graph Algebras, Higher Rank Graph C*-Algebras.
Subject [2010]: 46L05, 16S88.

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.

Acknowledgements

Thank you to my advisor Dr. Adam Fuller for the guidance and help throughout this paper as part of my dissertation.


Author information

Tim Schenkel:
Ohio University
Morton Hall 321, 24 Race St
Athens, OH 45701, USA

schenkel@ohio.edu