  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.
