19 citations · 64 across the 18 of their papers we have counts for
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math.OA2015★ 10 cited
On the Chern-Gauss-Bonnet Theorem and Conformally Twisted Spectral Triples for -Dynamical Systems
Farzad Fathizadeh, Olivier Gabriel
The analog of the Chern-Gauss-Bonnet theorem is studied for a -dynamical system consisting of a -algebra equipped with an ergodic action of a compact Lie group . T…
math.OA2011
Twisted Spectral Triples and Connes' Character Formula
Farzad Fathizadeh, Masoud Khalkhali
We give a proof of an analogue of Connes' Hochschild character theorem for twisted spectral triples obtained from twisting a spectral triple by scaling automorphisms, under some su…
math.OA2010★ 2 cited
The Gauss-Bonnet Theorem for Noncommutative Two Tori With a General Conformal Structure
Farzad Fathizadeh, Masoud Khalkhali
In this paper we give a proof of the Gauss-Bonnet theorem of Connes and Tretkoff for noncommutative two tori equipped with an arbitrary translation invariant compl…