# Central-sequence regularity contract

Family 299: The Kirchberg–Rørdam character criterion and infinite tensor-power Jiang–Su stability. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Track Jiang–Su stability under the stated absence of characters in central-sequence algebras and an infinite tensor-power companion.

## Applicability and commercial boundary

Ultrafilter, tensor and algebra-class conditions cannot be certified by an arbitrary finite numerical sample.

## 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 exact hypotheses and quantitative approximations.

## 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).

[The Kirchberg–Rørdam character criterion](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-Kirchberg-Rordam-character-criterion-September-25-2026/paper.pdf).