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Quantum Riemann surfaces I. The unit disc
Authors:Slawomir Klimek  Andrzej Lesniewski
Affiliation:(1) Harvard University, 02138 Cambridge, MA, USA
Abstract:We construct a non-commutative Copf*-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.Supported in part by the National Science Foundation under grant DMS/PHY 88-16214
Keywords:
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