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 ε S 2 (the Hubert-Schmidt class) is investigated. The results are applied to perturbations of Kolmogorov flows on hyperfinite factors generated by the algebra of canonical anticommutation relations.

Original languageEnglish
Pages (from-to)3-17
Number of pages15
JournalMathematical Notes
Volume79
Issue number1-2
DOIs
StatePublished - 1 Jan 2006

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Cocycle perturbation, Contraction cocycle, Dilation of a contraction cocycle, Perturbations of Kolmogorov flows, Translation group on the line, Unitary markovian cocycle

ID: 62180410