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Star products on compact pre-quantizable symplectic manifolds

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Abstract

We define in this Letter, a notion of ‘representation’ for a star product (equipped with a star-compatible trace) and show that every compact pre-quantizable symplectic manifold admits a representable star product.

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Supported by NSF grant DMS 890771.

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Guillemin, V. Star products on compact pre-quantizable symplectic manifolds. Lett Math Phys 35, 85–89 (1995). https://doi.org/10.1007/BF00739157

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  • DOI: https://doi.org/10.1007/BF00739157

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