Nuclear C-star regularity equivalence adapter

Family 291: Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Record equivalences among comparison, nuclear dimension and Jiang–Su stability, including restricted equivariant companions.

Applicability and commercial boundary

Unitality, nuclearity, simplicity and finiteness or action conditions differ. Equivalence does not compute a decomposition cheaply.

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

Map regimes separately and inspect effective constructions.

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.

Equivariant Jiang–Su Stability for Amenable Actions in the Unital Stably Finite Case.