Fourier transforms of $C^{\ast }$-algebras of nilpotent Lie groups

Ingrid Beltita, Daniel Beltita, Jean Ludwig

For any nilpotent Lie group $G$ we provide a description of the image of its $C^{\ast }$-algebra through its operator-valued Fourier transform. Specifically, we show that $C^{\ast }(G)$ admits…