45 citations · 323 across the 58 of their papers we have counts for
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A Scalar Curvature Formula For the Noncommutative 3-Torus
Masoud Khalkhali, Ali Moatadelro, Sajad Sadeghi
We compute the scalar curvature of a curved noncommutative 3-torus. To perturb the flat metric, the standard volume form on the noncommutative 3-torus is conformally perturbed and…
On Logarithmic Sobolev Inequality for the Noncommutative Two Torus
Masoud Khalkhali, Sajad Sadeghi
An analogue of Gross' logarithmic Sobolev inequality for a class of elements of noncommutative two tori is proved.
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…
A Short Survey of Cyclic Cohomology
Masoud Khalkhali
This is a short survey of some aspects of Alain Connes' contributions to cyclic cohomology theory in the course of his work on noncommutative geometry over the past 30 years.
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…