Research output: Contribution to journal › Article › peer-review
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.
Original language | English |
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Pages (from-to) | 734-770 |
Number of pages | 37 |
Journal | Izvestiya Mathematics |
Volume | 81 |
Issue number | 4 |
DOIs | |
State | Published - 1 Jan 2017 |
ID: 36194551