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Local Determinant Defects and Low-Energy Subspace Stability in Semifinite von Neumann Algebras
We give a finite-temperature test for the stability of low-energy spectral subspaces. The test uses a local determinant defect for the alpha-z Renyi kernel of two Gibbs states and bounds the tracial L2 distance between their low-energy projections. The main tool is a spectral-flattening principle fo
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