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- W2154228743 abstract "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 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 vector bundle over a general manifold $M$, giving rise to a $C^*$-algebra which is also a module over $C_0(M)$. Apart from including the original DFR-model, this method yields a fiberwise quantization of general Poisson manifolds." @default.
- W2154228743 created "2016-06-24" @default.
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- W2154228743 date "2012-01-07" @default.
- W2154228743 modified "2023-09-27" @default.
- W2154228743 title "The DFR-Algebra for Poisson Vector Bundles" @default.
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