  It is proved that:
  (1) The Fourier algebra A(G) of a simple Lie group G of real rank at least 2
with finite center does not have a multiplier bounded approximate unit.
  (2) The reduced C*-algebra of any lattice in a non-compact simple Lie group
of real rank at least 2 with finite center does not have the completely bounded
approximation property.
  Hence, the results obtained by J. de Canniere and the author for SO(n,1), n
at least 2, and by M. Cowling for SU(n,1) do not generalize to simple Lie
groups of real rank at least 2.
