Quantum Hall Effect on the Hyperbolic Plane

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dc.creatorCarey, A.
dc.creatorHannabus, K.
dc.creatorMathai, V.
dc.creatorMcCann, P.
dc.date1997-04-10
dc.date.accessioned2026-07-07T10:31:53Z
dc.date.available2026-07-07T10:31:53Z
dc.descriptionIn this paper, we study both the continuous model and the discrete model of the Quantum Hall Effect (QHE) on the hyperbolic plane. The Hall conductivity is identified as a geometric invariant associated to an imprimitivity algebra of observables. We define a twisted analogue of the Kasparov map, which enables us to use the pairing between $K$-theory and cyclic cohomology theory, to identify this geometric invariant with a topological index, thereby proving the integrality of the Hall conductivity in this case.
dc.descriptionAMS-LaTeX, 28 pages
dc.identifierhttps://arxiv.org/abs/dg-ga/9704006
dc.identifierhttp://arxiv.org/abs/dg-ga/9704006
dc.identifierCommun.Math.Phys.190:629-673,1998
dc.identifierdoi:10.1007/s002200050255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178571
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subjectHigh Energy Physics - Theory
dc.subject58 (Primary)
dc.titleQuantum Hall Effect on the Hyperbolic Plane
dc.typetext

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