Not evaluated
Isomorphism of free group factors (family 287)
The gist
OpenAI claims, in an announcement of October 6, 2026, a result on the isomorphism of free group factors.
DiscoverIA status on October 11, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 11, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 11, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-287-free-group-factors-r1
@misc{discoveria-oai-fam-287-free-group-factors-r1,
author = {{DiscoverIA}},
title = {Isomorphism of free group factors (family 287)},
howpublished = {DiscoverIA registry, entry oai-fam-287-free-group-factors},
note = {Status “Not evaluated”, snapshot 1, recorded on October 11, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-287-free-group-factors#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
If the result held, it would concern whether free group factors, operator algebras associated with free groups, are isomorphic. Two algebras are isomorphic when they have exactly the same structure.
What remains unclear
The sources read give only the title “Isomorphism of free group factors”: it is not known what the claim states exactly, and no verifier is recorded. A remark attributed to Vadim Alekseev is quoted: “wrong about the expected outcome” (source: proofsandprompts, not rechecked).
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Sources
- Main sourcegithub.compage read word for word
Method
The announcement relies on a preprint and on a reasoning summary of family 287. The README of the openai/math repository cites its title “Isomorphism of free group factors”. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 11, 2026 from github.com (page read, quotation checked word for word).
Limits
DiscoverIA has not checked this result itself.
Key facts
- Claimed by
- OpenAI
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (operator algebras)
- Checked by
- no verifier identified
- Sources
- 1 : 1 read word for word
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
An observation is added; none is ever erased.
In the same set
openai/math: 719 manuscripts in 372 families from an unreleased internal model · entry 281 of 372, by family number
- Not evaluated : The optimal randomized–quantum query exponent (family 284)
- Not evaluated : Counterexamples to Baum–Connes and Kadison–Kaplansky (family 285)
- Not evaluated : Arithmetic rigidity of lattice von Neumann algebras (family 286)
- Not evaluated : Isomorphism of free group factors (family 287)
- Not evaluated : Kadison's similarity conjecture (family 288)
- Not evaluated : The strong Kadison–Kastler conjecture (family 289)
- Not evaluated : Connes' bicentralizer conjecture and relative bicentralizers (family 290)
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