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Higher-Rank Graph C *-Algebras: An Inverse Semigroup and Groupoid Approach
Authors:Cynthia Farthing  Paul S. Muhly  Trent Yeend
Affiliation:(1) Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA;(2) Department of Mathematics, University of Newcastle, Callaghan, NSW 2308, Australia;(3) Present address: Department of Mathematics, University of Nebraska at Lincoln, Lincoln, NE 68588, USA
Abstract: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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