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Limit Sets as Examples in Noncommutative Geometry
dc.contributor.authorLott, Johnen_US
dc.date.accessioned2006-09-08T21:07:36Z
dc.date.available2006-09-08T21:07:36Z
dc.date.issued2005-04en_US
dc.identifier.citationLott, John; (2005). "Limit Sets as Examples in Noncommutative Geometry." K-Theory 34(4): 283-326. <http://hdl.handle.net/2027.42/43153>en_US
dc.identifier.issn0920-3036en_US
dc.identifier.issn1573-0514en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/43153
dc.description.abstractThe 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.en_US
dc.format.extent398058 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers; Springeren_US
dc.subject.otherMathematicsen_US
dc.subject.otherAlgebraen_US
dc.subject.otherGroup Theory and Generalizationsen_US
dc.subject.otherAnalysisen_US
dc.subject.otherGeometryen_US
dc.titleLimit Sets as Examples in Noncommutative Geometryen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1043, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/43153/1/10977_2005_Article_3101.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/s10977-005-3101-yen_US
dc.identifier.sourceK-Theoryen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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