Dirac operator and a twisted cyclic cocycle on the standard Podles quantum sphere

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dc.creatorSchmuedgen, Konrad
dc.creatorWagner, Elmar
dc.date2003-05-02
dc.date2007-07-23
dc.date.accessioned2026-07-07T08:19:29Z
dc.date.available2026-07-07T08:19:29Z
dc.descriptionA Dirac operator D on the standard Podles sphere is defined and investigated. It yields a spectral triple such that |D|^{-z} is of trace class for Re z>0. Commutators with the Dirac operator give the distinguished 2-dimensional covariant differential calculus on the standard Podles sphere. The twisted cyclic cocycle associated with the volume form of the differential calculus is expressed by means of the Dirac operator.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0305051
dc.identifierhttp://arxiv.org/abs/math/0305051
dc.identifierJ. Reine Angew. Math. 574 (2004), 219--235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134779
dc.subjectQuantum Algebra
dc.subjectOperator Algebras
dc.subject17B37; 46L87; 58B37; 81K50
dc.titleDirac operator and a twisted cyclic cocycle on the standard Podles quantum sphere
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