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- W1600590562 abstract "We introduce C-Algebras of compact Riemann surfaces $Sigma$ as non-commutative analogues of the Poisson algebra of smooth functions on $Sigma$. Representations of these algebras give rise to sequences of matrix-algebras for which matrix-commutators converge to Poisson-brackets as $Ntoinfty$. 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." @default.
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- W1600590562 date "2007-11-16" @default.
- W1600590562 modified "2023-10-16" @default.
- W1600590562 title "Noncommutative Riemann Surfaces" @default.
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