Noncommutative flows I: dynamical invariants

zbMath0993.46032arXivfunct-an/9512003MaRDI QIDQ4215421

William Arveson

Publication date: 16 June 1999

Full work available at URL: https://arxiv.org/abs/funct-an/9512003

zbMATH Keywords

generatorMarkov semigroupcompressionLaplacianquantum dynamicsinvariant statedifferential algebraderivationpotential forcesemielliptic operatorsymbol of operatormodular cohomologydifferential \(k\)-forms\(E_0\)-semigroup of \({\mathcal B(H)}\)faithful invariant mixed statefinite type I factorHamiltonian structure on the cotangent bundle of a Riemannian manifoldKMS-metric

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03) Linear operators on Banach algebras (47B48) Differential forms in global analysis (58A10) Classifications of (C^*)-algebras (46L35) Chain complexes (category-theoretic aspects), dg categories (18G35) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

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