INFINITESIMAL RIGIDITY FOR THE ACTION OF SL(N,Z) ON TN

Let GAMMA = SL(n, Z) or any subgroup of finite index. Then the action of GAMMA on T(n) by automorphisms is infinitesimally rigid for n greater-than-or-equal-to 7, i.e., the cohomology H-1(GAMMA, Vec(T(n))) = 0, where Vec(T(n)) denotes the module of C infinity vector fields on T(n).