What was already known
Marrakchi had obtained an expected amenable subalgebra preserving N′∩M and formulated the stronger relative bicentralizer conjecture for commutants inside the continuous core. The core contains modular-action unitaries that the earlier equality did not control.
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
Resolves the relative bicentralizer conjecture for expected inclusions with separable preduals.
Limitations
The linked Lean note checks bounded recovery from modular spectral averages in a companion paper; it does not check the amenable-subalgebra construction or core-commutant equality.
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, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision