Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
We define an infinite graded graph of ordered pairs and a canonical action of the group ℤ (the adic action) and of the infinite sum of groups of order two D = Σ∞1 ℤ/2ℤ on the path space of the graph. It is proved that these actions are universal for both groups in the following sense: every ergodic action of these groups with invariant measure and binomial generator, multiplied by a special action (the 'odometer'), is metrically isomorphic to the canonical adic action on the path space of the graph with a central measure. We consider a series of related problems.
Язык оригинала | английский |
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Страницы (с-по) | 734-770 |
Число страниц | 37 |
Журнал | Izvestiya Mathematics |
Том | 81 |
Номер выпуска | 4 |
DOI | |
Состояние | Опубликовано - 1 янв 2017 |
ID: 36194551