Why this work is in the frame
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Bibliographic record
Abstract
Abstract A trace on a <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msup><m:mi mathvariant="normal">C</m:mi><m:mo>*</m:mo></m:msup></m:math> {\mathrm{C}^{*}} -algebra is amenable (resp. quasidiagonal) if it admits a net of completely positive, contractive maps into matrix algebras which approximately preserve the trace and are approximately multiplicative in the 2-norm (resp. operator norm). Using that the double commutant of a nuclear <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msup><m:mi mathvariant="normal">C</m:mi><m:mo>*</m:mo></m:msup></m:math> {\mathrm{C}^{*}} -algebra is hyperfinite, it is easy to see that traces on nuclear <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msup><m:mi mathvariant="normal">C</m:mi><m:mo>*</m:mo></m:msup></m:math> {\mathrm{C}^{*}} -algebras are amenable. A recent result of Tikuisis, White, and Winter shows that faithful traces on separable, nuclear <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msup><m:mi mathvariant="normal">C</m:mi><m:mo>*</m:mo></m:msup></m:math> {\mathrm{C}^{*}} -algebras in the UCT class are quasidiagonal. We give a new proof of this result using the extension theory of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msup><m:mi mathvariant="normal">C</m:mi><m:mo>*</m:mo></m:msup></m:math> {\mathrm{C}^{*}} -algebras and, in particular, using a version of the Weyl–von Neumann Theorem due to Elliott and Kucerovsky.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.004 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.002 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.004 | 0.003 |
| Research integrity | 0.001 | 0.006 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it