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The classification program for von Neumann algebras witnessed remarkable progress which is in large part due to Popa's deformation/rigidity theory. We expand on the implications of the existence of maximal rigid algebras, provide concrete examples in the group setting, and applications when considering families of deformations as in $L^{2}$ rigidity, in particular, further supporting the Peterson-Thom Conjecture. I will give some of the background that goes into our theorem, and Rolando will expand on the details in a follow up talk.