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Absolutely continuous spectrum of some group extensions of Gaussian actions

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  • Group extensions of Gaussian $\mathbb{G}$-actions with absolutely continuous spectrum in the orthocomplement of the functions depending on the first coordinate are constructed for $\mathbb{G}$ equal to $\mathbb{Z}^{d}$, $d\in\mathbb{N}\cup\{\infty\}$ or $\mathbb{Q}$.
    Mathematics Subject Classification: Primary: 37A15, 37A20; Secondary: 60G15.

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