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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| container_title | Groups, geometry and dynamics |
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| creator | Merenkov, Sergei Sabitova, Maria |
| description | 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. |
| doi_str_mv | 10.4171/ggd/762 |
| format | Article |
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| language | eng |
| recordid | cdi_crossref_primary_10_4171_ggd_762 |
| source | DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals |
| title | On $\mathbb{Z}^{d}$-odometers associated to integer matrices |
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