Noncommutative Riemann Surfaces

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dc.creatorArnlind, Joakim
dc.creatorBordemann, Martin
dc.creatorHofer, Laurent
dc.creatorHoppe, Jens
dc.creatorShimada, Hidehiko
dc.date2007-11-16
dc.date.accessioned2026-07-07T08:43:22Z
dc.date.available2026-07-07T08:43:22Z
dc.descriptionWe introduce C-Algebras of compact Riemann surfaces $Σ$ as non-commutative analogues of the Poisson algebra of smooth functions on $Σ$. Representations of these algebras give rise to sequences of matrix-algebras for which matrix-commutators converge to Poisson-brackets as $N\to\infty$. For a particular class of surfaces, nicely interpolating between spheres and tori, we completely characterize (even for the intermediate singular surface) all finite dimensional representations of the corresponding C-algebras.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0711.2588
dc.identifierhttp://arxiv.org/abs/0711.2588
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142292
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleNoncommutative Riemann Surfaces
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