# Operator-algebra perturbation scope audit

Family 289: Strong Kadison–Kastler stability and its spatial boundaries. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Distinguish close unital von Neumann algebras on one Hilbert space from one-sided near inclusions and norm-separable C-star cases.

## Applicability and commercial boundary

Unit-ball operator-norm closeness and a universal tolerance are specific. Stronger spatial conclusions fail in companion regimes.

## Initial business decision

Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.

## Next verification action

Read tolerance effectiveness and exact representations.

## Evidence scope

The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

[Universal strong Kadison–Kastler stability](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Universal-strong-Kadison-Kastler-stability-September-23-2026/paper.pdf).