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We prove that, for the moduli space of flat SU(2)-connections on the torus,the Weyl quantization and the quantization using the quantum group of SL(2,C)are unitarily equivalent. This is done by comparing the matrices of theoperators associated by the two quantization to cosine functions. We alsodiscuss the *-product of the Weyl quantization and show that it satisfies theproduct-to-sum formula for noncommutative cosines on the noncommutative torus.Comment: 18 pages, latex format, 2 figure

The Weyl Quantization and the Quantum Group Quantization of the Moduli Space of Flat SU(2)-Connections on the Torus are the Same