most citedCrossed products of k-graph C*-algebras by Z^l

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math.OA2007★ 24 cited

Crossed products of k-graph C*-algebras by Z^l

Cynthia Farthing, David Pask, Aidan Sims

An action of Z^l by automorphisms of a k-graph induces an action of Z^l by automorphisms of the corresponding k-graph C*-algebra. We show how to construct a (k+l)-graph whose C*-al…

math.OA2004

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

Cynthia Farthing, Paul S. Muhly, Trent Yeend

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 theor…