Spectral triples for finitely generated groups, index 0

Details Spectral triples for finitely generated groups, index 0 Spectral triples for finitely generated groups, index 0

2010-10-25

arxiv.org/abs/1010.5221v6

Mathematics

Operator Algebras

This paper of 7 pages is just a first draft, it contains very few proofs. It is possible that some propositions are false, or

Scientific paper

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. Unfortunatly $D_{+}$ is
index $0$, but we are naturally led to an interesting classification of
finitely generated groups into three types.

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