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

• Autores: Adam G. Skalski, Joachim Zacharias
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 1, 2008, págs. 269-282
• Idioma: inglés
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• Resumen

  • Let O? be a higher-rank graph C*-algebra. For every p in Z+r there is a canonical completely positive map Fp on O? and a subshift Tp on the path space X=?8. We show that ht(Fp)=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(Fp)= log rad(M1 p1... Mr pr), rad being the spectral radius. This generalizes Boca and Goldstein's result for Cuntz-Krieger algebras