Abstract
For the concept of a W*-K-system, a non-commutative extension of the classical notion of a K-system, we establish a hierarchy of mixing properties including a generalization of mixing of arbitrary degree. With the aid of the appropriate modular operator the GNS-construction for a W*-K-system leads to a HIlbert space analogue of a K-system and thus to homogeneous Lebesgue spectrum. Finally we discuss a class of examples constructed in a quasifree manner over the CAR.
Supported in part by Studienstiftung des deutschen Volkes and DFG.
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Schröder, W. (1984). A hierarchy of mixing properties for non-commutative K-systems. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071732
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DOI: https://doi.org/10.1007/BFb0071732
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