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Matematicheskie Zametki, 2006, Volume 79, Issue 1, Pages 3–18
DOI: https://doi.org/10.4213/mzm2669 (Mi mzm2669) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Dilations of Contraction Cocycles and Cocycle Perturbations of the Translation Group of the Line

G. G. Amosova, A. D. Baranovb

a Moscow Institute of Physics and Technology
b Saint-Petersburg State University
Full-text PDF (295 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm2669
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 $W_t-I\in\mathscr S_2$ (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.
Received: 02.02.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 1, Pages 3–17
DOI: https://doi.org/10.1007/s11006-006-0001-2
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: G. G. Amosov, A. D. Baranov, “Dilations of Contraction Cocycles and Cocycle Perturbations of the Translation Group of the Line”, Mat. Zametki, 79:1 (2006), 3–18; Math. Notes, 79:1 (2006), 3–17
Citation in format AMSBIB
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