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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
3-manifold groups, limit groups, and selected one-relator and right-angled Artin groups possess the local lifting property and property FD, implying flexible stability of their approximate representations.
citing papers explorer
-
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.
-
The Local Lifting Property, Property FD, and stability of approximate representations
3-manifold groups, limit groups, and selected one-relator and right-angled Artin groups possess the local lifting property and property FD, implying flexible stability of their approximate representations.