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Spectral Gap Rigidity and Unique Prime Decomposition

  • Author(s): Winchester, Adam Jeremiah
  • Advisor(s): Popa, Sorin T
  • et al.

We use malleable deformations combined with spectral gap rigidity theory, in the framework

of Popas deformation/rigidity theory to prove unique tensor product decomposition results

for II1 factors arising as tensor product of wreath product factors and free group factors. We

also obtain a similar result regarding measure equivalence decomposition of direct products

of such groups.

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