Spectral triples of weighted groups

Subject Areas : Abstract harmonic analysis

M.  Amini ¹ (Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran)
Kh.  Shamsolkotabi ² (Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran)

Received: 2017-09-23 Accepted : 2017-11-22 Published : 2017-12-01

Keywords: Spectral triple, weighted group, functors,

Abstract :

We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.

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