Moyal planes are spectral triples
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Gayral, Victor
Gracia Bondía, José M.
Iochum, Bruno
Schücker, Thomas
Várilly Boyle, Joseph C.
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Abstract
Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces R^2N endowed with Moyal products are intensively investigated. Some physical applications, such as the construction of noncommutative Wick monomials and the computation of the Connes-Lott functional action, are given for these noncommutative hyperplanes.
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Keywords
Triple espectral, Geometría no conmutativa, Cuantización de Moyal
Citation
https://link.springer.com/article/10.1007/s00220-004-1057-z