Abstract
In the paper, we investigate weak mixing and ‘approach to equilibrium’ of a Markov semigroup, i.e. a semigroup \((\alpha_t \colon t \ge 0)\) of linear normal positive unital mappings on a von Neumann algebra. In particular, we show that weak mixing is equivalent to ergodictity and triviality of the (point) spectrum of the semigroup, and give conditions assuring that each normal state tends to an equilibrium state under the action of the semigroup.
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