Open Access
June 2006 A category of spectral triples and discrete groups with length function
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
Osaka J. Math. 43(2): 327-350 (June 2006).


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.


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Paolo Bertozzini. Roberto Conti. Wicharn Lewkeeratiyutkul. "A category of spectral triples and discrete groups with length function." Osaka J. Math. 43 (2) 327 - 350, June 2006.


Published: June 2006
First available in Project Euclid: 6 July 2006

zbMATH: 1120.46055
MathSciNet: MR2262338

Primary: 46L87
Secondary: 18F99 , 20C07 , 22D15

Rights: Copyright © 2006 Osaka University and Osaka City University, Departments of Mathematics

Vol.43 • No. 2 • June 2006
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