Entropy of shifts on higher-rank graph C*-algebras.

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.

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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
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
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31 Mar 2008 14:09
Last Modified:
21 Nov 2022 19:15