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Bounded cohomology primitive contract

Family 295: The Kadison–Ringrose cohomology conjecture. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Organize the claimed existence of bounded primitives for bounded Hochschild cocycles in degrees at least two.

Applicability and commercial boundary

Existence is not a primitive-construction algorithm or a bound suitable for numerical error control.

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

Inspect constructive operators and explicit norm estimates.

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.

Vanishing of higher bounded Hochschild cohomology.