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

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

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 th...

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Hauptverfasser: Farthing, Cynthia, Pask, David, Sims, Aidan
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Mathematics - Operator Algebras
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creator Farthing, Cynthia
Pask, David
Sims, Aidan
description 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.
doi_str_mv 10.48550/arxiv.0706.3547
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title Crossed products of k-graph C-algebras by Z^l
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