Classification of cocycles over ergodic automorphisms with values in the Lorentz group and recurrence of cocycles. (English. Russian original) Zbl 1405.37008
Math. Notes 93, No. 6, 850-857 (2013); translation from Mat. Zametki 93, No. 6, 869-877 (2013).
Summary: It is proved that any \(\mathrm{SO}_0(1,d)\)-valued cocycle over an ergodic (probability) measure-preserving automorphism is cohomologous to a cocycle having one of three special forms; the recurrence property of such cocycles is also studied.
MSC:
| 37A20 | Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations |
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