English

Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs

Operator Algebras 2007-05-23 v1

Abstract

We define the relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs. We prove versions of the gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem for relative Cuntz-Krieger algebras.

Keywords

Cite

@article{arxiv.math/0312152,
  title  = {Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs},
  author = {Aidan Sims},
  journal= {arXiv preprint arXiv:math/0312152},
  year   = {2007}
}

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16 pages