The C*-algebra of SL(2,R)
  The $C^*$-algebra of the group $SL(2,{\mathbb R})$ is characterized using the operator valued Fourier transform. In particular, it is shown by explicit computations, that the Fourier transform of this $C^*$-algebra fulfills the norm controlled dual limit property. 
Janne-Kathrin G\"unther
math.RT