Bibliographic record
Abstract
Let S be a concrete operator system represented on some Hilbert space H . A ⁎ C ⁎ -support of S is the ⁎ C ⁎ -algebra generated (via the Choi–Effros product) by S inside an injective operator system acting on H . By leveraging Hamana's theory, we show that such a ⁎ C ⁎ -support is unique precisely when ⁎ C ⁎ ( S ) (the ⁎ C ⁎ -algebra generated in B ( H ) with the usual product) is contained in every copy of the injective envelope of S that acts on H . Further, we demonstrate how the uniqueness of certain ⁎ C ⁎ -supports can be used to give new characterizations of the unique extension property for ⁎-representations, as well as the hyperrigidity of S . In another direction, we utilize the collection of all ⁎ C ⁎ -supports of S to describe the subspace generated by the so-called abnormalities of S , thereby complementing an earlier result of Kakariadis.
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How this classification was reachedexpand
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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".