On $C^{\ast }$-algebras of exponential solvable Lie groups and their real ranks

Ingrid Beltita, Daniel Beltita

For any solvable Lie group whose exponential map ${\exp }_G:\mathfrak{g}\to G$ is bijective, we prove that the real rank of $C^{\ast }(G)$ is equal to $\dim({\mathfrak g}/[{\mathfrak…