Noncommutative topological entropy of endomorphisms of Cuntz algebras

Details Noncommutative topological entropy of endomorphisms of Cuntz algebras Noncommutative topological entropy of endomorphisms of Cuntz algebras

2008-04-28

arxiv.org/abs/0804.4373v2

Mathematics

Operator Algebras

16 pages, v2 contains more background information. The paper will appear in Letters in Mathematical Physics

Scientific paper

10.1007/s11005-008-0279-y

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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