Connes-Embedding Table-of-Contents Fragment

Definitions and mathematical statement

The supplied record for permanent UnsolvedMath ID $30005193$ does not contain a recoverable mathematical statement. Its extraction begins with the isolated word "Conjecture", followed by a page reference to 2110 and several table-of-contents entries. No conjecture text, mathematical objects, hypotheses, domains, boundary conditions, quantifiers, or conclusion are supplied. Consequently, no definitions or precise mathematical assertion can be reconstructed from this evidence without inventing content.

The registry title is "Connes-Embedding Table-of-Contents Fragment", but the supplied passage contains no Connes-embedding assertion. The neighboring talk titles do not determine the intended problem. The supplied statement_status is unrecoverable; the supplied verification note describes the extraction as a table-of-contents fragment rather than a standalone open mathematical problem. These are source-record assessments, not independent verification in this draft.

The registry labels the entry "open". Its supplied literature assessment explicitly bases that label on a triage rule for an incomplete extraction, not on verification of a particular conjecture. A mathematical statement remains unavailable pending identification of the intended source passage.

Short English statement

This entry is an incomplete table-of-contents extraction. It supplies no conjecture that can be stated precisely. The registry's "open" label records supplied triage, and the intended mathematical problem requires human source review.

Sources

• Local registry: data/unsolvedmath/problems.json, with catalog/problems.json as the supplementary registry named in the project instructions; supplied complete source record for permanent UnsolvedMath ID $30005193$, exact source code catalogue entry, in "Oberwolfach Reports Open Problems". These local files were not independently inspected for this draft.
• Supplied report citation, with its malformed dollar-sign markup normalized for display: $C^*$-Algebras (2023), Oberwolfach Reports, DOI 10.4171/owr/2022/36, pp. 2059--2127. Supplied source URL and literature-source link labeled "original Oberwolfach report": https://doi.org/10.4171/owr/2022/36. The record gives proposed year 2022 and no proposer. The relationship between that year and the citation's 2023 label is unresolved.
• Contextual attribution in the supplied extraction: an isolated "Conjecture" entry points to p. 2110. Søren Eilers, joint with Toke M. Carlsen and Adam Dor-On, is listed for "The Williams problem through the lens of Cuntz-Krieger algebras", p. 2111. Ben Hayes, joint with David Jekel and Srivatsav Kunnawalkam Elayavalli, is listed for "Consequences of the recent resolution of the Peterson-Thom conjecture", p. 2114. The latter wording is a supplied talk title, not an independently verified resolution claim.
• Further contextual attribution: Becky Armstrong, joint with Kevin Aguyar Brix, Toke Meier Carlsen, and Søren Eilers, is listed for "Conjugacy of local homeomorphisms via groupoids and $C^*$-algebras", p. 2117. Dan Ursu is listed for "Characterizing traces on crossed products of noncommutative $C^*$-algebras", p. 2120. Mikael Rørdam is listed for "Inclusions of $C^*$-algebras", p. 2122. These are neighboring contents entries; the record does not attribute the unidentified conjecture to any of these contributors.
• Literature assessment dated exactly 2026-08-22: supplied dated curation, not independently verified. It labels the entry open because the fragment provides no complete mathematical claim for verification, under the stated triage rule. The supplied background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions and requests independent verification of time-sensitive status and cited claims. The supplied verification note says the official report confirms the table-of-contents nature of the extraction; this draft has not visited the report. A report reference is supplied, but no authoritative citation identifying a complete intended conjecture is supplied.