On $\mathbb{Z}^{d}$-odometers associated to integer matrices

Sergei Merenkov; Maria Sabitova

doi:10.4171/ggd/762

JournalsggdVol. 19, No. 1pp. 265–279

On $Z^{d}$ -odometers associated to integer matrices

Sergei Merenkov
City College of New York, New York, USA
Maria Sabitova
Queens College, CUNY, Flushing, USA

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Abstract

We extend the results by Giordano, Putnam, and Skau (2019) on characterization of conjugacy, isomorphism, and continuous orbit equivalence of $Z^{d}$ -odometers to dimensions $d > 2$ . We then apply these extensions to the case of odometers defined by matrices with integer coefficients.

Cite this article

Sergei Merenkov, Maria Sabitova, On $Z^{d}$ -odometers associated to integer matrices. Groups Geom. Dyn. 19 (2025), no. 1, pp. 265–279

DOI 10.4171/GGD/762