Abstract
A non-commutative extension of certain aspects of classical probability theory is presented in such a manner that the notion of Kolmogorov entropy can be extended to a large class of non-classical dynamical systems. In particular, the generalized K-entropy so defined is shown to be strictly positive on the class of non-abelian K-flows.
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Emch, G.G. Positivity of the K-entropy on non-abelian K-flows. Z. Wahrscheinlichkeitstheorie verw Gebiete 29, 241–252 (1974). https://doi.org/10.1007/BF00536283
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DOI: https://doi.org/10.1007/BF00536283