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Noncommutative topological entropy of endomorphisms of Cuntz algebras

2008, Skalski, Adam, Zacharias, Joachim

Noncommutative topological entropy estimates are obtained for ‘finite range’ endomorphisms of Cuntz algebras, generalising known results for the canonical shift endomorphisms. Exact values are computed for a class of polynomial endomorphisms related to branching function systems introduced and studied by Bratteli, Jorgensen and Kawamura.