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A Category of Spectral Triples and Discrete Groups with Length Function

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 نشر من قبل Paolo Bertozzini
 تاريخ النشر 2005
  مجال البحث
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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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