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Dilations of Contraction Cocycles and Cocycle Perturbations of the Translation Group of the Line |
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| Authors: | G G Amosov A D Baranov |
| Institution: | (1) Moscow Institute of Physics and Technology, Moscow, Russia;(2) St. Petersburg State University, St. Petersburg, Russia |
| Abstract: | 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 W t ? I ∈ S 2 (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. |
| Keywords: | translation group on the line contraction cocycle dilation of a contraction cocycle cocycle perturbation unitary Markovian cocycle perturbations of Kolmogorov flows |
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