Higher-rank graph C*-algebras: an inverse semigroup and groupoid approach

Details Higher-rank graph C*-algebras: an inverse semigroup and groupoid approach Higher-rank graph C*-algebras: an inverse semigroup and groupoid approach

2004-09-27

arxiv.org/abs/math/0409505v3

Semigroup Forum, Vol. 71 (2005), 159 -- 187

Mathematics

Operator Algebras

23 pages, uses XY-pic. Version published in Semigroup Forum

Scientific paper

We provide inverse semigroup and groupoid models for the Toeplitz and
Cuntz-Krieger algebras of finitely aligned higher-rank graphs. Using these
models, we prove a uniqueness theorem for the Cuntz-Krieger algebra.

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