Limit sets as examples in noncommutative geometry

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dc.creatorLott, John
dc.date2004-04-19
dc.date2005-03-25
dc.date.accessioned2026-07-07T05:07:33Z
dc.date.available2026-07-07T05:07:33Z
dc.descriptionThe fundamental group of a hyperbolic manifold acts on the limit set, giving rise to a cross-product C^* algebra. We construct nontrivial K-cycles for the cross-product algebra, thereby extending some results of Connes and Sullivan to higher dimensions. We also show how the Patterson-Sullivan measure on the limit set can be interpreted as a center-valued KMS state.
dc.descriptionfinal version
dc.identifierhttps://arxiv.org/abs/math/0404346
dc.identifierhttp://arxiv.org/abs/math/0404346
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70903
dc.subjectDifferential Geometry
dc.subjectOperator Algebras
dc.titleLimit sets as examples in noncommutative geometry
dc.typetext

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