On measure preserving self-homeomorphisms of path spaces of simple stationary Bratteli diagrams
DOI:
https://doi.org/10.17721/1812-5409.2018/4.4Abstract
Borel measures which are invariant under the tail equivalence relation on path spaces of Bratteli diagrams are considered. We study the following problem: Let Bratteli diagram is fixed. Do every selfhomeomorphisms that preserve such a measure can be approximated by homeomorphisms which are “close to finitary” homeomorphisms? We found some conditions on diagrams for which it is true.
Key words: Borel measure, path space, Bratteli diagram, homeomorphism group.
Pages of the article in the issue: 30-35
Language of the article: English
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