Small spatial embeddings for one-sided near inclusions of von Neumann algebras
Theorem 1.1: there are and pairs of von Neumann algebras on separable Hilbert spaces with common identity and for which spatial embeddings exist but every implementing unitary satisfies . So the unrestricted one-sided question has a negative answer, in contrast with Christensen's injective case and with the two-sided strong Kadison-Kastler theorem in the same family. The obstruction is to small unitaries, not to the existence of embeddings.
Exact FrontierDelta
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Occurred: Oct 5, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: announcement. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.
Canonical aliases: Small spatial embeddings for one-sided near inclusions of von Neumann algebras · Near-inclusion embedding question
Confidence: Not scored
Registry verification: unreviewed · announcement · candidate
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VibeMathed
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Unreleased internal OpenAI model
model · ai model contributor · OpenAI
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Theorem 1.1: there are and pairs of von Neumann algebras on separable Hilbert spaces with common identity and for which spatial embeddings exist but every implementing unitary satisfies . So the unrestricted one-sided question has a negative answer, in contrast with Christensen's injective case and with the two-sided strong Kadison-Kastler theorem in the same family. The obstruction is to small unitaries, not to the existence of embeddings. parent of this event
This event attributed to Unreleased internal OpenAI model
Small spatial embeddings for one-sided near inclusions of von Neumann algebras parent of this event
VibeMathed record: Small spatial embeddings for one-sided near inclusions of von Neumann algebras evidence for this event
Universal strong Kadison-Kastler stability evidence for this event
Small spatial embeddings for one-sided near inclusions of von Neumann algebras evidence for this event
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