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

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

2007-06-25

arxiv.org/abs/0706.3547v1

Mathematics

Operator Algebras

27 pages. Pictures drawn using pgf

Scientific paper

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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