A Unique Prime Decomposition Result for Wreath Product Factors
  We use malleable deformations combined with spectral gap rigidity theory, in the framework of Popa's deformation/rigidity theory to prove unique tensor product decomposition results for II$_1$ factors arising as tensor product of wreath product factors. We also obtain a similar result regarding measure equivalence decomposition of direct products of such groups. 
James Owen Sizemore, Adam Winchester
math.OA