A category of spectral triples and discrete groups with length function
Bertozzini, Paolo ; Conti, Roberto ; Lewkeeratiyutkul, Wicharn
Osaka J. Math., Tome 43 (2006) no. 2, p. 327-350 / Harvested from Project Euclid
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In the context of Connes' spectral triples, a suitable notion of morphism is introduced. Discrete groups with length function provide a natural example for our definitions. 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.
Publié le : 2006-06-14
Classification:  46L87,  18F99,  20C07,  22D15 
@article{1152203943,
     author = {Bertozzini, Paolo and Conti, Roberto and Lewkeeratiyutkul, Wicharn},
     title = {A category of spectral triples and discrete groups with length function},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 327-350},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1152203943}
}

Bertozzini, Paolo; Conti, Roberto; Lewkeeratiyutkul, Wicharn. A category of spectral triples and discrete groups with length function. Osaka J. Math., Tome 43 (2006) no. 2, pp.  327-350. http://gdmltest.u-ga.fr/item/1152203943/