Levi-Civita connections from toral actions

Suvrajit Bhattacharjee, Soumalya Joardar, Sugato Mukhopadhyay

We construct tame differential calculi coming from toral actions on a class of ${\mathrm{C}}^{\ast }$-algebras. Relying on the existence of a unique Levi-Civita connection on such a calcul…