Modular Completely Dirichlet forms as Squares of Derivations

• URL: http://arxiv.org/abs/2307.04502v1
• Date: Mon, 10 Jul 2023 11:46:51 GMT
• Title: Modular Completely Dirichlet forms as Squares of Derivations
• Authors: Melchior Wirth
• Abstract summary: We show 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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