On measure preserving self-homeomorphisms of path spaces of simple stationary Bratteli diagrams

Lavrenyuk, Yaroslav

doi:10.17721/1812-5409.2018/4.4

On measure preserving self-homeomorphisms of path spaces of simple stationary Bratteli diagrams

Тип публікації :

Стаття

Дата випуску :

2018

Автор(и) :

Lavrenyuk, Yaroslav

Мова основного тексту :

Англійська

eKNUTSHIR URL :

https://ir.library.knu.ua/handle/15071834/26303

DOI :

10.17721/1812-5409.2018/4.4

Журнал :

Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics

Випуск :

4

ISSN :

1812-5409

Початкова сторінка :

30

Кінцева сторінка :

35

Цитування :

[APA 7] Lavrenyuk, Y. (2018). On measure preserving self-homeomorphisms of path spaces of simple stationary Bratteli diagrams. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (4), 30–35. https://doi.org/10.17721/1812-5409.2018/4.4

[ДСТУ] Lavrenyuk Y. On measure preserving self-homeomorphisms of path spaces of simple stationary Bratteli diagrams. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2018. no. 4. P. 30—35. DOI: 10.17721/1812-5409.2018/4.4 (date of access: 25.07.2026).

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 - 35Language of the article: English

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