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arxiv: 0706.3547 · v1 · submitted 2007-06-25 · 🧮 math.OA

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

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keywords algebrak-graphactionautomorphismscrossedalgebrascoincidesconstruct
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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*-algebra coincides with the crossed product of the original k-graph algebra by Z^l. We then investigate the structure of the crossed-product C*-algebra.

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