A framework is introduced to transfer deformation/rigidity methods into the continuous model theory of II1 factors, proving non-elementary equivalence of L(SL3(Z)) and LF2, non-pseudomatriciality of LF2, and existence of infinite families of pairwise non-equivalent full factors.
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On ultraproduct approximations and property (T) factors
A framework is introduced to transfer deformation/rigidity methods into the continuous model theory of II1 factors, proving non-elementary equivalence of L(SL3(Z)) and LF2, non-pseudomatriciality of LF2, and existence of infinite families of pairwise non-equivalent full factors.