Abstract
We continue our study of noncommutative deformations of two-dimensional hyperbolic manifolds which we initiated in Part I. We construct a sequence of ℂ*-algebras which are quantizations of a compact Riemann surface of genus g corresponding to special values of the Planck constant. These algebras are direct integrals of finite-dimensional ℂ*-algebras.
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Supported by DOE under Grant DE-FG02-88ER25065.
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Klimek, S., Lesniewski, A. Quantum Riemann surfaces: II. The discrete series. Lett Math Phys 24, 125–139 (1992). https://doi.org/10.1007/BF00402676
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DOI: https://doi.org/10.1007/BF00402676