Skalski, Adam G. and Zacharias, J. (2008) *Entropy of shifts on higher-rank graph C*-algebras.* Houston Journal of Mathematics, 34 (1). pp. 269-282.

## Abstract

Let OΛ be a higher-rank graph C*-algebra. For every p in Z+r there is a canonical completely positive map Φp on OΛ and a subshift Tp on the path space X=Λ∞. We show that ht(Φp)=h(Tp), where ht is Voiculescu's approximation entropy and h the classical topological entropy. For a higher rank Cuntz-Krieger algebra OM we obtain ht(Φp)= log rad(M1 p1... Mr pr), rad being the spectral radius. This generalizes Boca and Goldstein's result for Cuntz-Krieger algebras.

Item Type: | Journal Article |
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Journal or Publication Title: | Houston Journal of Mathematics |

Additional Information: | Posted on the arXiv: 9th May 2006. To appear in Houston Journal of Mathematics; accepted in final form: 25th August 2006. RAE_import_type : Internet publication RAE_uoa_type : Pure Mathematics |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 2402 |

Deposited By: | ep_importer |

Deposited On: | 31 Mar 2008 15:09 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 23 Jan 2018 03:01 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/2402 |

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