Noncommutative topological entropy of endomorphisms of Cuntz algebras II

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

2010-02-11

arxiv.org/abs/1002.2276v1

Mathematics

Operator Algebras

8 pages

Scientific paper

A study of noncommutative topological entropy of gauge invariant endomorphisms of Cuntz algebras began in our earlier work with Joachim Zacharias is continued and extended to endomorphisms which are not necessarily of permutation type. In particular it is shown that if H is an N-dimensional Hilbert space, V is an irreducible multiplicative unitary on the tensor product of H with itself and F is the tensor flip, then the Voiculescu entropy of the Longo's canonical endomorphism associated with the unitary VF is equal to log N.

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