Triple
T12027016
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Noncommutative Geometry (1994 book) |
E286303
|
entity |
| Predicate | subject |
P450
|
FINISHED |
| Object | C*-algebras |
E286298
|
NE FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: C*-algebras | Statement: [Noncommutative Geometry (1994 book), subject, C*-algebras]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: C*-algebras Context triple: [Noncommutative Geometry (1994 book), subject, C*-algebras]
-
A.
C*-algebras
chosen
C*-algebras are a class of norm-closed, self-adjoint operator algebras on Hilbert spaces that form a fundamental framework in functional analysis and noncommutative geometry.
-
B.
Cuntz algebras
Cuntz algebras are a family of simple, purely infinite C*-algebras generated by isometries with specific relations, playing a central role in the classification and structure theory of operator algebras.
-
C.
von Neumann algebras
Von Neumann algebras are operator algebras of bounded operators on a Hilbert space that are closed in the weak operator topology and under taking adjoints, forming a central object in functional analysis and quantum theory.
-
D.
Banach algebra
A Banach algebra is a complete normed vector space equipped with a compatible associative algebra multiplication, allowing analysis and algebra to be combined in a single structure.
-
E.
noncommutative tori
Noncommutative tori are fundamental examples of noncommutative spaces in operator algebras and noncommutative geometry, generalizing the algebra of functions on a classical torus by deforming the commutation relations of its coordinate functions.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d6ab4669e48190b59246358b0383ab |
completed | April 8, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69d903f02638819091e0cc0e93fa5ea7 |
completed | April 10, 2026, 2:06 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f5f646423c819088575a7032e6a9a3 |
completed | May 2, 2026, 1:04 p.m. |
Created at: April 8, 2026, 9:47 p.m.