• Moyal planes are spectral triples 

      Gayral, Victor; Gracia Bondía, José M.; Iochum, Bruno; Schücker, Thomas; Várilly Boyle, Joseph C. (2004-04)
      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 ...
    • Moyal quantization with compact symmetry groups and noncommutative harmonic analysis 

      Figueroa González, Héctor; Gracia Bondía, José M.; Várilly Boyle, Joseph C. (1990)
      The phase-space approach to quantization of systems whose symmetry group is compact and semisimple is developed from two basic principles: covariance and traciality. This generalizes results and methods already implemented ...