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

2006; Indiana University; Volume: 55; Issue: 2 Linguagem: Inglês

10.1512/iumj.2006.55.2579

1943-5266

Aidan Sims,

Algebraic structures and combinatorial models

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