The C*-algebras of connected real two-step nilpotent Lie groups
  Using the operator valued Fourier transform, the C*-algebras of connected real two-step nilpotent Lie groups are characterized as algebras of operator fields defined over their spectra. In particular, it is shown by explicit computations, that the Fourier transform of such C*-algebras fulfills the norm controlled dual limit property. 
Janne-Kathrin G\"unther (University of Luxembourg, Universit\'e de   Lorraine), Jean Ludwig (Universit\'e de Lorraine)
math.RT