On the Chern-Gauss-Bonnet Theorem and Conformally Twisted Spectral Triples for $C^{\ast }$-Dynamical Systems

Farzad Fathizadeh, Olivier Gabriel

The analog of the Chern-Gauss-Bonnet theorem is studied for a $C^{\ast }$-dynamical system consisting of a $C^{\ast }$-algebra $A$ equipped with an ergodic action of a compact Lie group $G$. T…