Algebraic phases satisfying APT axioms are reconstructible up to intrinsic equivalence from filtered representation categories plus boundary structure, with additional results on rigidity, finite generation, and boundary detectability.
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Duality, Reconstruction, and Structural Toolkit Theorems in Algebraic Phase Theory
Algebraic phases satisfying APT axioms are reconstructible up to intrinsic equivalence from filtered representation categories plus boundary structure, with additional results on rigidity, finite generation, and boundary detectability.