A Category of Spectral Triples and Discrete Groups with Length Function

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dc.creatorBertozzini, Paolo
dc.creatorConti, Roberto
dc.creatorLewkeeratiyutkul, Wicharn
dc.date2005-02-28
dc.date.accessioned2026-07-07T06:30:33Z
dc.date.available2026-07-07T06:30:33Z
dc.descriptionIn 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.
dc.description23 pages, AMS-LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0502583
dc.identifierhttp://arxiv.org/abs/math/0502583
dc.identifierOsaka Journal of Mathematics, 43 n. 2, 327-350 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98366
dc.subjectOperator Algebras
dc.subjectCategory Theory
dc.subject46L87 (Primary); 18F99, 20C07, 22D15 (Secondary)
dc.titleA Category of Spectral Triples and Discrete Groups with Length Function
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