On the spectral theory of groups of automorphisms of S-adic nilmanifolds

DOI10.1017/etds.2023.39arXiv2110.15646MaRDI QIDQ6198053

Yves Guivarc'h, Mohammed El Bachir Bekka

Publication date: 20 February 2024

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.15646

zbMATH Keywords

spectral theorynilmanifoldsKoopman representation

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Homogeneous spaces (22F30) Relations between ergodic theory and number theory (37A44) Relations between ergodic theory and harmonic analysis (37A46)

Cites Work

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• Unitary representations of group extensions. I
• Adeles and the spectrum of compact nilmanifolds
• Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
• Counterexamples in ergodic theory and number theory
• Asymptotic properties of unitary representations
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Random products of automorphisms of Heisenberg nilmanifolds and Weil’s representation
• Spectral rigidity of group actions on homogeneous spaces
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• On the spectral theory of groups of affine transformations of compact nilmanifolds
• Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
• Spectral gap property and strong ergodicity for groups of affine transformations of solenoids

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