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The spectral form of Koopman representations of the group of measurable functions with values in the circle

Justin Tatch Moore, Sławomir Solecki Colloquium Mathematicum MSC: Primary 22A25; Secondary 22F10, 37A15. DOI: 10.4064/cm8784-6-2022 Published online: 26 September 2022

Abstract

We compute the spectral form of the Koopman representation induced by a natural boolean action of $L^0(\lambda , \mathbb T)$ identified earlier by the authors. Our computation establishes the sharpness of the constraints on spectral forms of Koopman representations of $L^0(\lambda , \mathbb T)$ previously found by the second author.

Authors

  • Justin Tatch MooreDepartment of Mathematics
    Cornell University
    Ithaca, NY 14853, U.S.A.
    e-mail
  • Sławomir SoleckiDepartment of Mathematics
    Cornell University
    Ithaca, NY 14853, U.S.A.
    e-mail

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