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• W2058046670 abstract "In 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." @default.
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• W2058046670 date "1998-01-01" @default.
• W2058046670 modified "2023-10-11" @default.
• W2058046670 title "Quantum Hall Effect on the Hyperbolic Plane" @default.
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• W2058046670 doi "https://doi.org/10.1007/s002200050255" @default.
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