On a universal Borel adic space
Dynamical Systems
2019-09-04 v1
Abstract
We prove that the so-called uniadic graph and its adic automorphism are Borel universal, i.e., every aperiodic Borel automorphism is isomorphic to the restriction of this automorphism to a subset invariant under the adic transformation, the isomorphism being defined on a universal (with respect to the measure) set. We develop the concept of basic filtrations and combinatorial definiteness of automorphisms suggested in our previous paper.
Keywords
Cite
@article{arxiv.1909.00776,
title = {On a universal Borel adic space},
author = {A. Vershik and P. Zatitskii},
journal= {arXiv preprint arXiv:1909.00776},
year = {2019}
}
Comments
10 pp, Ref 15