Geodesic
On $\mathbb{Z}^{d}$-odometers associated to integer matrices
Sergei Merenkov1 orcid ; Maria Sabitova2 orcid
1City College of New York, New York, USA
2Queens College, CUNY, Flushing, USA
Groups, geometry, and dynamics, Tome 19 (2025) no. 1, pp. 265-279

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DOI

We extend the results by Giordano, Putnam, and Skau (2019) on characterization of conjugacy, isomorphism, and continuous orbit equivalence of Zd-odometers to dimensions d>2. We then apply these extensions to the case of odometers defined by matrices with integer coefficients.
DOI : 10.4171/ggd/762
Classification : 37B05, 55N20
Mots-clés : odometer, cohomology

Sergei Merenkov  1   ; Maria Sabitova  2

1 City College of New York, New York, USA
2 Queens College, CUNY, Flushing, USA 
Sergei Merenkov; Maria Sabitova. On $\mathbb{Z}^{d}$-odometers associated to integer matrices. Groups, geometry, and dynamics, Tome 19 (2025) no. 1, pp. 265-279. doi: 10.4171/ggd/762
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     pages = {265--279},
     year = {2025},
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     number = {1},
     doi = {10.4171/ggd/762},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/762/}
}
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