OAI/Analysis/KadisonKastler/ExpectedModularRows.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Expected modular preparation with individual row approximants

The expected-state construction supplies all common right-action data. Only separate finite-row approximants are used in the graph comparison.

  1. theorem OAI.KadisonKastler.exists_expected_modular_row_graph_comparison line 32

    Source documentation

    An expectation onto the finite common algebra supplies the right data; no global choice of a nearby operator is required.

    theorem exists_expected_modular_row_graph_comparison
        (hpub : PublishedLocalizedAmenableEmbedding (H := H))
    …

    Mentions: OAI.KadisonKastler.PublishedLocalizedAmenableEmbedding

  2. theorem OAI.KadisonKastler.exists_expected_matrixStage_row_graph_comparison line 73

    Source documentation

    Actual increasing matrix stages supply injectivity. The expectation and modular conjugation supply the central vector and common right action.

    theorem exists_expected_matrixStage_row_graph_comparison
        (hpub : PublishedLocalizedAmenableEmbedding (H := H))
    …

    Mentions: OAI.KadisonKastler.PublishedLocalizedAmenableEmbedding