2 papers
math.QA2018
The Ricci Curvature for Noncommutative Three Tori
Rui Dong, Asghar Ghorbanpour, Masoud Khalkhali
We compute the Ricci curvature of a curved noncommutative three torus. The computation is done both for conformal and non-conformal perturbations of the flat metric. To perturb the…
math.QA2017
On inductive limit spectral triples
Remus Floricel, Asghar Ghorbanpour
Given an inductive system of spectral triples $\{(A_j,\H_j,D_j)\}_j$, we find conditions under which the triple $(\limind A_j,\limind H_j,\limind D_j)$ is a spectral triple. We als…