Spectral triples for finitely generated groups.
Résumé
Using Cayley graphs and Clifford algebras, we are able to give, for every finitely generated groups, a uniform construction of spectral triples with a generically non-trivial phase for the Dirac operator. We are naturally led to a classification of such groups into three types.
Origine : Fichiers produits par l'(les) auteur(s)