Given a countable amenable group G and λ ∈ (0,1), we give an elementary construction of a type-IIIλ Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.
Bibliographical noteFunding Information:
ZK: Funded in part by ISF grant No. 1570/17.
© 2021 AIMSCIENCES.
- Amenable group actions
- Bernoulli shifts
- Krieger types