Bratteli–Vershik models for partial actions of ℤ-Reference-Cited by-同舟云学术

Bratteli–Vershik models for partial actions of ℤ

Published:2017-09 Issue:10 Volume:28 Page:1750073
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Giordano Thierry¹,Gonçalves Daniel²^ORCID,Starling Charles³

Affiliation:

1. Department of Mathematics and Statistics, University of Ottawa, 585 King Edward, Ottawa, ON K1N 6N5, Canada

2. Departamento de Matemática, Campus Universitário Trindade CEP 88.040-900, Florianópolis SC, Brasil

3. Carleton University School of Mathematics and Statistics, 4302 Herzberg Laboratories, 1125 Colonel By Drive, Ottawa, ON K1S 5B6, Canada

Abstract

Let [Formula: see text] and [Formula: see text] be open subsets of the Cantor set with nonempty disjoint complements, and let [Formula: see text] be a homeomorphism with dense orbits. Building on the ideas of Herman, Putnam and Skau, we show that the partial action induced by [Formula: see text] can be realized as the Vershik map on an ordered Bratteli diagram, and that any two such diagrams are equivalent.

Funder

Canadian Network for Research and Innovation in Machining Technology

CNPq

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X17500732

Reference27 articles.

1. Enveloping actions and Takai duality for partial actions

2. The Rokhlin lemma for homeomorphisms of a Cantor set