Dilations of Contraction Cocycles and Cocycle Perturbations of the Translation Group of the Line
- Cite this article as:
- Amosov, G.G. & Baranov, A.D. Math Notes (2006) 79: 3. doi:10.1007/s11006-006-0001-2
The class of contraction cocycles which can be dilated to unitary Markovian cocycles of a translation group S on the straight line is introduced. The class of cocycle perturbations of S by unitary Markovian cocycles W with the property Wt − I ∈ S2 (the Hilbert—Schmidt class) is investigated. The results are applied to perturbations of Kolmogorov flows on hyperfinite factors generated by the algebra of canonical anticommutation relations.