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arXiv · 2107.14760

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

Justin Tatch Moore·Sławomir Solecki
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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.

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Justin Tatch Moore, Sławomir Solecki. 2021-07-30. The spectral form of Koopman representations of the group of measurable functions with values in the circle. https://arxiv.org/abs/2107.14760

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