Rigid lattice bimodule classification reference

Family 286: Rigidity and arithmetic of lattice von Neumann algebras. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Organize finite-index bimodules and stable equivalence for the specified rigid lattice von Neumann algebras.

Applicability and commercial boundary

ICC, property-T, commensurability, local-field, cocycle and amplification hypotheses matter; classification is not an implemented finite solver.

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 effective representatives and computable invariants.

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.

Arithmeticity of twisted finite correspondences for lattices over local fields.