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Dixmier traces on noncompact isospectral deformations
Victor Gayral, Bruno Iochum, Joseph C. Varilly
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 .…
On Connes' new principle of general relativity. Can spinors hear the forces of spacetime?
Lionel Carminati, Bruno Iochum, Daniel Kastler +1
Connes has extended Einstein's principle of general relativity to noncommutative geometry. The new principle implies that the Dirac operator is covariant with respect to Lorentz an…
Fuzzy Mass Relations in the Standard Model
Bruno Iochum, Daniel Kastler, Thomas Schucker
Recently Connes has proposed a new geometric version of the standard model including a non-commutative charge conjugation. We present a systematic analysis of the relations among m…