Spectral triples for finitely presented groups, index 1
Abstract
Using a Cayley complex (generalizing the Cayley graph) and Clifford algebras, we are able to give, for a large class of finitely presented groups, a uniform construction of spectral triples with $D_{+}$ of index 1.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- arXiv:
- arXiv:1011.4436
- Bibcode:
- 2010arXiv1011.4436P
- Keywords:
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- Mathematics - Operator Algebras;
- 46L87;
- 58B34 (Primary);
- 20F65;
- 57M07 (Secondary)
- E-Print:
- This first draft of 6 pages will be withdrawn as long as it is not completed