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Hermitian Star Products are Completely Positive Deformations

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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∞(M) can be deformed into a positive linear functional with respect to the star product.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, The Fields Institute, 100 St. George Street, 222 College St., Toronto, Ontario, M5S 3G3, M5T 3J1, Canada

    Henrique Bursztyn

  2. Fakultät für Mathematik und Physik, Physikalisches Institut, Universität Freiburg, Hermann-Herder-Str. 3, 79104, Freiburg i.Br., Germany

    Stefan Waldmann

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  1. Henrique Bursztyn
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  2. Stefan Waldmann
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Correspondence to Henrique Bursztyn.

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Bursztyn, H., Waldmann, S. Hermitian Star Products are Completely Positive Deformations. Lett Math Phys 72, 143–152 (2005). https://doi.org/10.1007/s11005-005-4844-3

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  • DOI: https://doi.org/10.1007/s11005-005-4844-3

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