Dynamical semigroups commuting with compact abelian actions

DOI10.1017/S0143385700001929zbMath0528.46051OpenAlexW2158233219MaRDI QIDQ3310411

David E. Evans, Ola Bratteli

Publication date: 1983

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700001929

zbMATH Keywords

convolution semigroupfixed point algebracomplete dissipationcompletely positive contractionscompact Abelian action

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (9)

Locality and differential operators on \(C^*\)-algebras ⋮ Quantum dynamical semigroups, symmetry groups, and locality ⋮ Spontaneous SU2(C) symmetry breaking in the ground states of quantum spin chain ⋮ Noncommutative topological dynamics and compact actions on \(C^*\)- algebras ⋮ Derivations commuting with abelian gauge actions on lattice systems ⋮ A \(C^*\)-algebraic Schoenberg theorem ⋮ Extending derivations ⋮ Relative locality of derivations ⋮ Unbounded derivations tangential to compact groups of automorphisms. II

Cites Work

• Unnamed Item
• Strongly positive semigroups and faithful invariant states
• Derivations vanishing on \(S(\infty)\)
• Completely positive quasi-free maps on the CAR algebra
• Conditional expectations in von Neumann algebras and a theorem of Takesaki
• Unbounded derivations tangential to compact groups of automorphisms
• Unbounded derivations commuting with compact group actions
• On the generators of quantum dynamical semigroups
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Irreducible quantum dynamical semigroups
• Simple \(C^*\)-algebras generated by isometries
• Subalgebras of \(C^ *\)-algebras
• Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
• A non-commutative extension of abstract integration
• Cohomology of Operator Algebras and Quantum Dynamical Semigroups
• Positive $C_0$-semigroups on $C^*$-algebras.
• Some contraction semigroups in quantum probability

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