Higher-rank graph C*-algebras: an inverse semigroup and groupoid approach
classification
🧮 math.OA
keywords
algebrascuntz-kriegergroupoidhigher-rankinversemodelssemigroupalgebra
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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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