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

Abstract

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.

arXiv comment27 pages. Pictures drawn using pgf

References in corpus (4)

• Higher rank graph C*-algebras
• Simplicity of C*-algebras associated to higher-rank graphs
• On the K-theory of higher rank graph C*-algebras
• Removing sources from higher-rank graphs

Cited by in corpus (7)

• Aperiodicity and the primitive ideal space of a row-finite $k$-graph $C^{\ast }$-algebra
• $C^{\ast }$-algebras and Fell bundles associated to a textile system
• Product-system models for twisted $C^{\ast }$-algebras of topological higher-rank graphs
• Topological realizations and fundamental groups of higher-rank graphs
• Crossed products and twisted $k$-graph algebras
• Homology for higher-rank graphs and twisted C*-algebras
• Computing the fundamental group of a higher-rank graph