What was already known
Vaes classified finite-index bimodules for generalized Bernoulli factors by subgroup isomorphisms and projective representations. Donvil–Vaes obtained arbitrary-twist rigidity for certain left-right wreath products, while other wreath-like results impose different source restrictions. Prior boundary rigidity results for lattices concern characters or distinguished inclusions rather than all bifinite correspondences in this local-field lattice class (manuscript Section 1.2, pp. 4–5).
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Identifies the arithmetic source of every finite correspondence in a broad property-(T) lattice class despite arbitrary scalar twists and an unrestricted ICC comparison group.
Limitations
The source group must lie in Definition 1.1’s ICC property-(T) local-field lattice class. The theorem classifies correspondences as closed summands of finite sums; it does not identify every summand or bounded intertwiner, which the companion paper addresses.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, and prior-work review for non-notifying local inclusion.
Read this published revision