Abstract:
In this paper we give a complete characterization of Morita equivalent star products on symplectic manifolds in terms of their characteristic classes: two star products ⋆ and ⋆' on (M,ω) are Morita equivalent if and only if there exists a symplectomorphism ψ\colon M M such that the relative class t(⋆, ψ⋆(⋆')) is 2 π i-integral. For star products on cotangent bundles, we show that this integrality condition is related to Dirac's quantization condition for magnetic charges.
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Received: 19 July 2001 / Accepted: 23 January 2002
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Bursztyn, H., Waldmann, S. The Characteristic Classes of Morita Equivalent Star Products on Symplectic Manifolds. Commun. Math. Phys. 228, 103–121 (2002). https://doi.org/10.1007/s002200200657
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DOI: https://doi.org/10.1007/s002200200657