The structure and spectrum of Heisenberg odometers

DOI10.1090/S0002-9939-2014-11963-0zbMath1321.37004arXiv1109.1807OpenAlexW2120893030MaRDI QIDQ5418553

Ilie Ugarcovici, Ayşe A. Şahin, Samuel J. Lightwood

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1807

zbMATH Keywords

Heisenberg groupodometernon-abelian group actionHeisenberg odometer

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Ergodic theorems, spectral theory, Markov operators (37A30) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (5)

Odometer actions of the Heisenberg group ⋮ The discriminant invariant of Cantor group actions ⋮ Growth and homogeneity of matchbox manifolds ⋮ Orbit equivalence rigidity of equicontinuous systems ⋮ Cantor dynamics of renormalizable groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\mathbb Z^d\) Toeplitz arrays
• Entropy and isomorphism theorems for actions of amenable groups
• Ergodic transformation groups with a pure point spectrum
• G -odometers and their almost one-to-one extensions
• Twisted Burnside Theory for the Discrete Heisenberg Group and for Wreath Products of Some Groups
• Spectral and mixing properties of actions of amenable groups
• Expansive algebraic actions of discrete residually finite amenable groups and their entropy
• Algebraic actions of the discrete Heisenberg group and other non-abelian groups

This page was built for publication: The structure and spectrum of Heisenberg odometers