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

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.

14 pages

Cited by in corpus (1)

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