On the Moyal product as the polarized groupoid convolution algebra of the corresponding symplectic groupoid, hence as an example of geometric quantization of symplectic groupoids:

- José Gracia-Bondia, Joseph Varilly,
*From geometric quantization to Moyal quantization*, J. Math. Phys. 36 (1995) 2691-2701 (arXiv:hep-th/9406170)

- José Gracia-Bondia, Joseph Varilly, Héctor Figueroa,
*Elements of noncommutative geometry*, Birkhäuser 2001. xviii+685 pp. (doi:10.1007/978-1-4612-0005-5, gBooks)

Discussion of the spectral Riemannian geometry of the fuzzy 2-sphere:

- Francesco D'Andrea, Fedele Lizzi, Joseph Várilly,
*Metric Properties of the Fuzzy Sphere*, Lett. Math. Phys.103 (2013), 183-205 (arXiv:1209.0108)

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