Kosloff, Zemer;
Soo, Terry;
(2021)
The orbital equivalence of Bernoulli actions and their Sinai factors.
Journal of Modern Dynamics
, 17
pp. 145-182.
10.3934/jmd.2021005.
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Abstract
Given a countable amenable group G and 0 < L < 1, we give an elementary construction of a type-III:L Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.
| Type: | Article |
|---|---|
| Title: | The orbital equivalence of Bernoulli actions and their Sinai factors |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.3934/jmd.2021005 |
| Publisher version: | https://doi.org/10.3934/jmd.2021005 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Krieger types, Bernoulli shifts, factors, amenable group actions |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10143333 |
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