On a universal Borel adic space

A. Vershik; P. Zatitskii

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arXiv · 1909.00776

On a universal Borel adic space

A. Vershik·P. Zatitskii

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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.

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A. Vershik, P. Zatitskii. 2019-09-02. On a universal Borel adic space. https://arxiv.org/abs/1909.00776

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