Can lattices in SL(n,R) act on the circle?

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dc.creatorMorris, Dave Witte
dc.date2008-11-01
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:37:11Z
dc.date.available2026-07-07T12:37:11Z
dc.descriptionThis expository paper describes the various methods that have yielded partial results on the conjecture that if n > 2, then no lattice in SL(n,R) has a faithful action on the circle (by homeomorphisms). Topics include amenability, Kazhdan's property (T), bounded cohomology, bounded generation, and the Reeb-Thurston Stability Theorem.
dc.descriptionThis version corrects an error in the proof of the Moore Ergodicity Theorem
dc.identifierhttps://arxiv.org/abs/0811.0051
dc.identifierhttp://arxiv.org/abs/0811.0051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218351
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject22E40; 57S25
dc.titleCan lattices in SL(n,R) act on the circle?
dc.typetext

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