Spectral triples for finitely generated groups.

Sébastien Palcoux (1)

1 IML - Institut de mathématiques de Luminy

Using Cayley graphs and Clifford algebras, we are able to give spectral triples for at least a large class of finitely generated groups, such that the phase of the Dirac operator is generically non-trivial.

Mots clés: non-commutative geometry; spectral triple; geometric group theory; Clifford algebra; Cayley graph; Dirac; finitely generated group

Domaines: Algèbres d'opérateurs [math.OA]

Sébastien Palcoux. Spectral triples for finitely generated groups.. 2010. ⟨hal-00529553v1⟩