On a question of Bratteli and Robinson
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We give a partial answer to a question raised by Bratteli and Robinson, by showing that the mean entropy equals the mean conditional entropy for a large class of translation invariant states. In the general case we show that equality holds if and only if the mean conditional entropy is upper semicontinuous in the w*-topology.
KeywordsEntropy Statistical Physic Group Theory Large Class Invariant State
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