Abstract
Two functionals\(\tilde S\) and\(\tilde I\) are introduced forC*-dynamical systems with invariant states and stationary channels. It is shown that the Kolmogorov-Sinai-type theorems hold for these functionals\(\tilde S\) and\(\tilde I\). Our functionals\(\tilde S\) and\(\tilde I\) are set within the framework of quantum information theory and generalize a quantum KS entropy by CNT and the mutual entropy by Ohya.
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