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Maximal Rigid Subalgebras of Deformations and L2 Cohomology, II

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Maximal Rigid Subalgebras of Deformations and L2 Cohomology, II
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17
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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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. 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 L2 rigidity; the latter result lends further support to the Peterson-Thom Conjecture.