English

Hermitian star products are completely positive deformations

Quantum Algebra 2009-11-10 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0410350,
  title  = {Hermitian star products are completely positive deformations},
  author = {Henrique Bursztyn and Stefan Waldmann},
  journal= {arXiv preprint arXiv:math/0410350},
  year   = {2009}
}

Comments

8 pages, LaTeX2e

R2 v1 2026-07-22T17:11:13.966Z