On $\mathbb{Z}^{d}$-odometers associated to integer matrices
We extend the results by Giordano, Putnam, and Skau (2019) on characterization of conjugacy, isomorphism, and continuous orbit equivalence of \mathbb{Z}^{d} -odometers to dimensions d>2 . We then apply these extensions to the case of odometers defined by matrices with integer coefficients.
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| Veröffentlicht in: | Groups, geometry and dynamics geometry and dynamics, 2024-01 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We extend the results by Giordano, Putnam, and Skau (2019) on characterization of conjugacy, isomorphism, and continuous orbit equivalence of \mathbb{Z}^{d} -odometers to dimensions d>2 . We then apply these extensions to the case of odometers defined by matrices with integer coefficients. |
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| ISSN: | 1661-7207 1661-7215 |
| DOI: | 10.4171/ggd/762 |