OAI/NumberTheory/DukePrimeDegree/Dynamics/DenseInvariantFunctions.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

Almost invariance extends from a dense subgroup

Continuity of the actual pullback representation on lattice L² extends almost invariance of an observable from a dense subgroup. This does not turn pointwise invariance into a topological assertion about a measurable observable; the continuous object is its L² equivalence class.

  1. theorem OAI.DukePrimeDegree.lattice_function_ae_fixed_of_dense line 21