What was already known
Reduced assembly injectivity was known for substantial group classes, including amenable, hyperbolic and linear groups. Earlier counterexamples with nontrivial coefficients or for groupoids did not give a coefficient-free group assembly kernel.
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
Disproves rational injectivity of the coefficient-free reduced Baum–Connes map for torsion-free groups.
Limitations
The group is finitely generated and torsion-free; finite presentation and exactness are not claimed. The result identifies a kernel class, not merely a failure of surjectivity.
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; technical verification remains Reported.
Read this published revision