Quantization and Morita equivalence for constant Dirac structures on tori
Annales de l'Institut Fourier, Volume 54 (2004) no. 5, pp. 1565-1580.

We define a C * -algebraic quantization of constant Dirac structures on tori and prove that O(n,n|)-equivalent structures have Morita equivalent quantizations. This completes and extends from the Poisson case a theorem of Rieffel and Schwarz.

Nous définissons une quantification C * -algebrique des structures de Dirac constantes sur les tores, et nous démontrons que l’équivalence à O(n,n|) près des structures implique l’équivalence de Morita de leurs quantifications. Ce résultat complète et généralise un théorème de Rieffel et Schwarz, donné dans le cadre des structures de Poisson.

DOI: 10.5802/aif.2059
Classification: 46L65, 81S10

Tang, Xiang ; Weinstein, Alan 1

1 University of California, Department of Mathematics, Berkeley, CA 94720 (USA), University of California, Department of Mathematics Davis, CA 95616 (USA)
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Tang, Xiang; Weinstein, Alan. Quantization and Morita equivalence for constant Dirac structures on tori. Annales de l'Institut Fourier, Volume 54 (2004) no. 5, pp. 1565-1580. doi : 10.5802/aif.2059. https://aif.centre-mersenne.org/articles/10.5802/aif.2059/

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