On the Representation Theory of Deformation Quantization

@article{Waldmann2001OnTR,
  title={On the Representation Theory of Deformation Quantization},
  author={S. Waldmann},
  journal={arXiv: Quantum Algebra},
  year={2001}
}
  • S. Waldmann
  • Published 2001
  • Mathematics, Physics
  • arXiv: Quantum Algebra
In this contribution to the proceedings of the 68eme Rencontre entre Physiciens Theoriciens et Mathematiciens on Deformation Quantization I shall report on some recent joint work with Henrique Bursztyn on the representation theory of *-algebras arising from deformation quantization as I presented this in my talk. 
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Abstract Motivated by deformation quantization we investigate an algebraic GNS construction of *-representations of deformed *-algebras over ordered rings and compute their classical limit. TheExpand
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In this note I will relate some recent results on the * -representation theory of star product algebras to the deformation quantization of Hermitian vector bundles. Moreover, the physicalExpand
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