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

The Voiculescu entropy of canonical completely positive maps on higher-rank graph algebras is shown to coincide with the topological entropy of underlying classical subshifts. Exact values are obtained for higher rank Cuntz-Krieger algebras, generalising the result of Boca and Goldstein (Bull. London Math. Soc. 32 (2000), pp.345-352).

Joint work with Joachim Zacharias.

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