Reduction of cocycles and groups of diffeomorphisms of the circle

Reduction of cocycles and groups of diffeomorphisms of the circle

We prove two theorems of reduction of cocycles taking values in the group of diffeomorphisms of the circle. They generalize previous results obtained by the author concerning rigidity for smooth actions on the circle of Kazhdan groups and higher rank lattices.

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Veröffentlicht in:Bulletin of the Belgian Mathematical Society, Simon Stevin Simon Stevin, 2006-06, Vol.13 (2), p.193-205
1. Verfasser: Navas, Andrés
Format: Artikel
Sprache:eng
Schlagworte:
37A20
57S20
circle diffeomorphisms
cocycles
Kazhdan's property (T)
rigidity
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Beschreibung
Zusammenfassung:We prove two theorems of reduction of cocycles taking values in the group of diffeomorphisms of the circle. They generalize previous results obtained by the author concerning rigidity for smooth actions on the circle of Kazhdan groups and higher rank lattices.
ISSN:1370-1444
2034-1970
DOI:10.36045/bbms/1148059456