# Bicentralizer inclusion evidence ledger

Family 290: Relative bicentralizers and modular spectral recovery. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Organize type-III-one bicentralizer and expected amenable-inclusion conclusions for researchers.

## Applicability and commercial boundary

Separable predual, state and continuous-core commutant conditions are not generic finite matrix assumptions.

## 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

Extract exact operator-algebra hypotheses and dependency metadata.

## 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).

[Expected amenable subalgebras preserving core commutants](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Expected-amenable-subalgebras-preserving-core-commutants-September-23-2026/Expected-amenable-subalgebras-preserving-core-commutants-September-23-2026.pdf).