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

Adam G. Skalski, Joachim Zacharias

• 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