OAI/Analysis/KadisonKastler/TwoRatioProductType.lean

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The type III₁ conclusion for the fixed two-ratio product

The local finite-product data supply centralizer irreducibility. The two site eigenoperators then force the regular core to be a factor, before the published core-classification theorem is applied.

  1. theorem OAI.KadisonKastler.ProductMatrixStages.tensor_typeIII1 line 33

    Source documentation

    All factorial-core conclusions are derived from finite product data and the two explicit site eigenoperators. The given modular resolution is certified by its bounded KMS strip condition.

    theorem ProductMatrixStages.tensor_typeIII1
        (P : ProductMatrixStages (H := K))
    …

    Mentions: OAI.KadisonKastler.ProductMatrixStages