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Article Dans Une Revue Journal of Mathematical Physics Année : 2005

The spectral action for Moyal planes

Résumé

Extending a result of D.V. Vassilevich, we obtain the asymptotic expansion for the trace of a "spatially" regularized heat operator associated with a generalized Laplacian defined with integral Moyal products. The Moyal hyperplanes corresponding to any skewsymmetric matrix $\Theta$ being spectral triples, the spectral action introduced in noncommutative geometry by A. Chamseddine and A. Connes is computed. This result generalizes the Connes-Lott action previously computed by Gayral for symplectic $\Theta$.

Dates et versions

hal-00005088 , version 1 (01-06-2005)

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Victor Gayral, Bruno Iochum. The spectral action for Moyal planes. Journal of Mathematical Physics, 2005, 46, pp.043503-1-043503-17. ⟨hal-00005088⟩
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