Simple Spectrum for Tensor Products of Mixing Map Powers
  We prove the existence of a mixing rank one map $T$ such that the product $T\otimes T^2\otimes T^3\otimes...$ has simple spectrum. This result is used in S.V. Thikhonov's proof of the existence of mixing transformation with homogeneous spectrum of multiplicity $m>2$. 
V.V.Ryzhikov
math.DS