OAI/Analysis/KadisonKastler/ExpectedModularRows.lean
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.
- theorem
OAI.KadisonKastler.exists_expected_modular_row_graph_comparisonline 32Source 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
- theorem
OAI.KadisonKastler.exists_expected_matrixStage_row_graph_comparisonline 73Source 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