A Category of Spectral Triples and Discrete Groups with Length Function
Operator Algebras
2007-05-23 v1 Category Theory
Abstract
In the context of A. Connes' spectral triples, a suitable notion of morphism is introduced. Discrete groups with length function provide a natural example for our definitions. A. Connes' construction of spectral triples for group algebras is a covariant functor from the category of discrete groups with length functions to that of spectral triples. Several interesting lines for future study of the categorical properties of spectral triples and their variants are suggested.
Cite
@article{arxiv.math/0502583,
title = {A Category of Spectral Triples and Discrete Groups with Length Function},
author = {Paolo Bertozzini and Roberto Conti and Wicharn Lewkeeratiyutkul},
journal= {arXiv preprint arXiv:math/0502583},
year = {2007}
}
Comments
23 pages, AMS-LaTeX2e