Moyal planes are spectral triples
Gracia Bondía, José M.
Várilly Boyle, Joseph C.
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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.
External link to the item10.1007/s00220-004-1057-z
- Matemática