Matrix group actions on product of spheres and Zimmer's program

Shengkui Ye

Let SL(n,Z) be the special linear group over integers and $M=S_1^r\times S_2^r,T_1^r\times S_2^r$ , or $T_0^r\times S_1^r\times S_2^r$, products of spheres and tori. We prove…