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Quantum Riemann surfaces I. The unit disc

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Abstract

We construct a non-commutative ℂ*-algebra\(C_\mu (\bar U)\) which is a quantum deformation of the algebra of continuous functions on the closed unit disc\(\bar U\).\(C_\mu (\bar U)\) is generated by the Toeplitz operators on a suitable Hilbert space of holomorphic functions onU.

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Communicated by A. Jaffe

Supported in part by the National Science Foundation under grant DMS/PHY 88-16214

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Klimek, S., Lesniewski, A. Quantum Riemann surfaces I. The unit disc. Commun.Math. Phys. 146, 103–122 (1992). https://doi.org/10.1007/BF02099210

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