• Dixmier traces on noncompact isospectral deformations 

      Gayral, Victor; Iochum, Bruno; Várilly Boyle, Joseph C. (2006)
      We extend the isospectral deformations of Connes, Landi and Dubois-Violette to the case of Riemannian spin manifolds carrying a proper action of the noncompact abelian group R^l. Under deformation by a torus action, a ...
    • 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 ...