  In this paper we show that an affine Hecke algebra $H_q$ over complex numbers
field with parameter $q\ne 1$ is not isomorphic to the group algebra over
complex numbers field of the corresponding extend affine Weyl group if the
corresponding root system has no factors of type $A_1$ and the order of $q$ is
different from 11 and 13 if the root system has factors of type $E_8$.
