Summary
We show that for Lie groups whose adjoint representation reflects their topology, mixing implies mixing of all orders. In particular we prove that mixing actions of a semisimple Lie group are mixing of all orders, answering a conjecture of B. Marcus.
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Oblatum 6-VIII-1990 & 4-IV-1991
Sponsored in part by the Edmund Landau Center for research in Mathematical Analysis supported by the Minerva Foundation (Federal Republic of Germany)
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Mozes, S. Mixing of all orders of Lie groups actions. Invent Math 107, 235–241 (1992). https://doi.org/10.1007/BF01231889
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DOI: https://doi.org/10.1007/BF01231889