Triple

T12027017
Position Surface form Disambiguated ID Type / Status
Subject Noncommutative Geometry (1994 book) E286303 entity
Predicate subject P450 FINISHED
Object von Neumann algebras E14972 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

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: von Neumann algebras | Statement: [Noncommutative Geometry (1994 book), subject, von Neumann algebras]

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: von Neumann algebras
Context triple: [Noncommutative Geometry (1994 book), subject, von Neumann algebras]
  • A. von Neumann algebras chosen
    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.
  • B. C*-algebras
    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.
  • C. Les algèbres d’opérateurs dans l’espace hilbertien
    Les algèbres d’opérateurs dans l’espace hilbertien is a foundational monograph by Jacques Dixmier that systematically develops the theory of operator algebras on Hilbert spaces, particularly C*-algebras and von Neumann algebras.
  • D. 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.
  • E. Gelfand–Naimark–Segal construction
    The Gelfand–Naimark–Segal construction is a fundamental procedure in functional analysis that represents abstract C*-algebras as concrete operators on a Hilbert space via states, forming the basis of the GNS representation.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69d6ab4669e48190b59246358b0383ab elicitation completed
NER batch_69d903f02638819091e0cc0e93fa5ea7 ner completed
NED1 batch_69f60a5f724c819082aa589372dff020 ned_source_triple completed
Created at: April 8, 2026, 9:47 p.m.