A category of spectral triples and discrete groups with length function

@inproceedings{Bertozzini2005ACO,
  title={A category of spectral triples and discrete groups with length function},
  author={Paolo Bertozzini and Roberto Cezar de Conti and Wicharn Lewkeeratiyutkul Thammasat University and Bangkok and Chulalongkorn University},
  year={2005}
}
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. 

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