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Hermitian star products are completely positive deformations

Henrique Bursztyn·Stefan Waldmann
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Abstract

Let M be a Poisson manifold equipped with a Hermitian star product. We show that any positive linear functional on C^\infty(M) can be deformed into a positive linear functional with respect to the star product.

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Henrique Bursztyn, Stefan Waldmann. 2004-10-15. Hermitian star products are completely positive deformations. https://doi.org/10.1007/s11005-005-4844-3

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