Noncommutative topological entropy of endomorphisms of Cuntz algebras
Adam Skalski, Joachim Zacharias
TL;DR
This paper calculates the noncommutative topological entropy for certain endomorphisms of Cuntz algebras, extending previous results and providing exact entropy values for specific permutative cases.
Contribution
It generalizes existing entropy estimates to polynomial gauge invariant endomorphisms and computes exact entropy for a new class of permutative endomorphisms.
Findings
Entropy estimates for polynomial gauge invariant endomorphisms
Exact entropy values for permutative endomorphisms related to branching function systems
Extension of known results for canonical shift endomorphisms
Abstract
Noncommutative topological entropy estimates are obtained for polynomial gauge invariant endomorphisms of Cuntz algebras, generalising known results for the canonical shift endomorphisms. Exact values for the entropy are computed for a class of permutative endomorphisms related to branching function systems introduced and studied by Bratteli, Jorgensen and Kawamura.
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