An algebraic formulation of causality for noncommutative geometry

Nicolas Franco, Michał Eckstein

Résultats de recherche: Contribution à un journal/une revueArticle

Résumé

We propose an algebraic formulation of the notion of causality for spectral triples corresponding to globally hyperbolic manifolds with a well-defined noncommutative generalization. The causality is given by a specific cone of Hermitian elements respecting an algebraic condition based on the Dirac operator and a fundamental symmetry. We prove that in the commutative case the usual notion of causality is recovered. We show that, when the dimension of the manifold is even, the result can be extended in order to have an algebraic constraint suitable for a Lorentzian distance formula.
langue originale Français 18 Classical and Quantum Gravity 30 135007 https://doi.org/10.1088/0264-9381/30/13/135007 Publié - 7 juin 2013

mots-clés

• noncommutative geometry

Citer ceci

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Dans: Classical and Quantum Gravity , Vol 30, Numéro 135007, 07.06.2013.

Résultats de recherche: Contribution à un journal/une revueArticle

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AU - Eckstein, Michał

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