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.
机构:
Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, BrazilUniv Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
Goncalves, Daniel
Li, Hui
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East China Normal Univ, Dept Math, Res Ctr Operator Algebras, 3663 Zhongshan North Rd, Shanghai 200062, Peoples R China
East China Normal Univ, Dept Math, Shanghai Key Lab Pure Math & Math Practice, 3663 Zhongshan North Rd, Shanghai 200062, Peoples R ChinaUniv Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
Li, Hui
Royer, Danilo
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Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, BrazilUniv Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
机构:
Univ Orleans, Dept Math, BP 6759, F-45067 Orleans 2, France
CNRS, UMR 7349, BP 6759, F-45067 Orleans 2, France
FR 2964, BP 6759, F-45067 Orleans 2, FranceUniv Orleans, Dept Math, BP 6759, F-45067 Orleans 2, France
Renault, Jean
Sims, Aidan
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Univ Wollongong, Sch Math & Appl Stat, Austin Keane Bldg 15, Wollongong, NSW 2522, AustraliaUniv Orleans, Dept Math, BP 6759, F-45067 Orleans 2, France
Sims, Aidan
Williams, Dana P.
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Dartmouth Coll, Dept Math, Hanover, NH 03755 USAUniv Orleans, Dept Math, BP 6759, F-45067 Orleans 2, France
Williams, Dana P.
Yeend, Trent
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Univ Newcastle, Sch Math & Phys Sci, Bldg 5, Callaghan, NSW 2308, AustraliaUniv Orleans, Dept Math, BP 6759, F-45067 Orleans 2, France