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.