On this page
Quasitrace and tensor-finiteness counterexample
Family 294: Kaplansky's quasitrace conjecture and failure of tensor-product stable finiteness. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Record nonadditive normalized two-quasitraces and the specified finite-algebra tensor product becoming properly infinite.
Applicability and commercial boundary
Quasitraces differ from ordinary additive traces; abstract C-star tensor products differ from finite numeric Kronecker products.
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 precise algebras, tensor norm and quasitrace witnesses.
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.