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Kumjian-Pask algebras of higher-rank graphs

Rings and Algebras 2011-06-23 v1 Operator Algebras

Abstract

We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras, and analyze their ideal structure.

Keywords

Cite

@article{arxiv.1106.4361,
  title  = {Kumjian-Pask algebras of higher-rank graphs},
  author = {Gonzalo Aranda Pino and John Clark and Astrid an Huef and Iain Raeburn},
  journal= {arXiv preprint arXiv:1106.4361},
  year   = {2011}
}

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28 pages