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Corpus ID: 119279513

The DFR-Algebra for Poisson Vector Bundles

@article{Forger2012TheDF,
title={The DFR-Algebra for Poisson Vector Bundles},
author={M. Forger and Daniel V. Paulino},
journal={arXiv: Operator Algebras},
year={2012}
}

The aim of the present paper is to present the construction of a general family of $C^*$-algebras that includes, as a special case, the "quantum space-time algebra" first introduced by Doplicher, Fredenhagen and Roberts. To this end, we first review, within the $C^*$-algebra context, the Weyl-Moyal quantization procedure on a fixed Poisson vector space (a vector space equipped with a given bivector, which may be degenerate). We then show how to extend this construction to a Poisson vectorâ€¦Â CONTINUE READING