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Modular Completely Dirichlet forms as Squares of Derivations

Published 10 Jul 2023 in math.OA, math-ph, math.FA, math.MP, and quant-ph | (2307.04502v1)

Abstract: We prove that certain closable derivations on the GNS Hilbert space associated with a non-tracial weight on a von Neumann algebra give rise to GNS-symmetric semigroups of contractive completely positive maps on the von Neumann algebra.

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