Bibliographic record
Abstract
Much progress has been made on the classification of simple C*-algebras via the Elliott invariant. A key component of this invariant is the K0-group. Thus, the range of this invariant is of interest to the classification project. In the stably finite case, the K0-group is an ordered group. If x is an element of an ordered group ⟨G; G+⟩ such that x ∉ G + but nx ≠ 0 and nx ∈ G+ for some natural number n, we say that G is strongly perforated and call x a perforation element. The sequel establishes the existence of several new, strongly perforated order structures which arise as the ordered K 0-groups of certain simple C*-algebras. These order structures include all previously known strongly perforated order structures arising in this manner. Also proved is the existence of unital *-homomorphisms between simple C*-algebras with strongly perforated ordered K0-groups which preserve perforation elements.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.002 | 0.004 |
| Scholarly communication | 0.002 | 0.004 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
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 source (direct Gemma or distilled Codex), 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".