An extension criterion for lattice actions on the circle

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dc.creatorBurger, Marc
dc.date2009-05-01
dc.date.accessioned2026-07-07T13:11:03Z
dc.date.available2026-07-07T13:11:03Z
dc.descriptionWe establish a necessary and sufficient condition for an action of a lattice by homeomorphisms of the circle to extend continuously to the ambient locally compact group. This condition is expressed in terms of the real bounded Euler class of this action. Combined with classical vanishing theorems in bounded cohomology, one recovers rigidity results of Ghys, Witte--Zimmer, Navas and Bader--Furman--Shaker in a unified manner.
dc.identifierhttps://arxiv.org/abs/0905.0136
dc.identifierhttp://arxiv.org/abs/0905.0136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229168
dc.subjectGroup Theory
dc.titleAn extension criterion for lattice actions on the circle
dc.typetext

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