NON-BERNOULLIAN QUANTUM K-SYSTEMS

We construct an uncountable family of pairwise non-conjugate non-Berno ullian It-systems of type III1 with the same finite CNT-entropy, We al so investigate clustering properties of multiple channel entropies for strong asymptotically abelian systems of type II and III. We prove th at a wide enough class of systems has the It-property. In particular, such systems as the space translations of a one-dimensional quantum la ttice with the Gibbs states of Araki, the space translations of the CC R-algebra and the even part of the CAR-algebra with the quasi-free sta tes of Park and Shin, noncommutative Markov shifts in the Accardi sens e are entropic K-systems.