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Maximal Rigid Subalgebras of Deformations and $L^2$ Cohomology, II de Santiago, Rolando

Description

The classification program for von Neumann algebras witnessed remarkable progress which is in large part due to Popa's Deformation/Rigidity theory. Proceeding from where Ben Hayes ended in Part I, we expand on the implications of the existence of maximal rigid algebras, provide concrete examples in the group setting, and describe applications when considering families of deformations as in $L^2$ rigidity; the latter result lends further support to the Peterson-Thom Conjecture.

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