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

2022/09/19 by Sergei Merenkov, Merenkov, Sergei, Maria Sabitova +1 · 1 citation
Mathematics · #37B05 #Advanced Banach Space Theory #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2209.09374

openalex publication_date 2022/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the results of T. Giordano, I. F. Putnam, C. F. Skau contained in ``\mathbb Z^d-odometers and cohomology", Groups Geom. Dyn. 13 (2019), no. 3, P. 909-938, 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.

Cited by

• Large normalizers of \mathbb Z^d-odometers systems and realization on substitutive subshifts

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