# Crossed products of k-graph C*-algebras by Zl

@article{Farthing2007CrossedPO, title={Crossed products of k-graph C*-algebras by Zl}, author={Cynthia Farthing and David Pask and Aidan Sims}, journal={Houston Journal of Mathematics}, year={2007}, volume={35}, pages={903-933} }

An action of Zl by automorphisms of a k-graph induces an action of Zl 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 C)-algebra by Zl. We then investigate the structure of the crossed-product C*-algebra.

## 21 Citations

### Crossed products and twisted k-graph algebras

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- 2014

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### Aperiodicity and primitive ideals of row-finite k-graphs

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- 2012

This work describes the primitive ideal space of the C*-algebra of a row-finite k-graph with no sources when every ideal is gauge invariant and proves some new results on aperiodicity.

### Topological realizations and fundamental groups of higher-rank graphs

- MathematicsProceedings of the Edinburgh Mathematical Society
- 2015

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### GENERALISED MORPHISMS OF k-GRAPHS: k-MORPHS

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- 2007

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### Aperiodicity and the primitive ideal space of a row-finite $k$-graph $C^*$-algebra

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- 2011

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### PERIODIC 2-GRAPHS ARISING FROM SUBSHIFTS

- MathematicsBulletin of the Australian Mathematical Society
- 2010

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