On groups of automorphisms of operator algebras

From MaRDI portal
Publication:1213621

DOI10.1016/0022-1236(74)90034-2zbMath0296.46064OpenAlexW2010950158MaRDI QIDQ1213621

William Arveson

Publication date: 1974

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(74)90034-2




Related Items (only showing first 100 items - show all)

KMS states of quasi-free dynamics on Pimsner algebrasConnes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)Vigier's theorem for the spectral order and its applicationsSpectral order on \(AW^\ast\)-algebras and its preserversLocally compact group actions on \(C^ *\)-algebras and compact subgroupsSpectral theory of commuting self-adjoint partial differential operatorsOn the functional-calculus of non-quasianalytic groups of operators and cosine functionsLipschitz continuity of the absolute value and Riesz projections in symmetric operator spacesMaximality of analytic operator algebrasOn finite free Fisher information for eigenvectors of a modular operatorDifference inequalities for the groups and semigroups of operators on Banach spacesSpectral order of operators and range projectionsBraided categories of endomorphisms as invariants for local quantum field theoriesCommutation properties of automorphism groups and mappings of von Neumann algebrasCommutators of Hamiltonian operators and non-Abelian algebrasSpectra of ergodic transformationsSpectral representations for Abelian automorphism groups of von Neumann algebrasMaximal subalgebras of C\(^*\)-algebras associated with periodic flowsOn spectral subspaces associated to locally compact Abelian groups of operatorsErgodic properties of one-parameter automorphism groups of operator algebrasMultidimensional spectral order for selfadjoint operatorsSelf adjoint extensions satisfying the Weyl operator commutation relationsSimplicity of crossed products of GCR algebras by abelian groupsPhoton localization revisitedMaximal ergodic inequalities for Banach function spacesRegular abelian Banach algebras of linear maps of operator algebrasCompact abelian groups of automorphisms of von Neumann algebrasReflexive operator algebras on non-commutative Hardy spacesNon-commutative central limitsRemarks on the Goldstone theorem in the C*-algebraic approachOn traceable factor representations of crossed productsEigenvalue comparisons for second-order linear equations with boundary value conditions on time scalesArveson spectral theory and C*-algebraic Goldstone-type theoremsUnbounded derivations tangential to compact groups of automorphismsSpectral theory of finite volume domains in \(R^ n\).Memory estimation of inverse operatorsA generalization to locally compact Abelian groups of a spectral problem for commuting partial differential operatorsApplications of semigroups of operators to non-elliptic differential operatorsOn a decomposition of a von Neumann algebraNonselfadjoint subalgebras associated with compact Abelian group actions on finite von Neumann algebrasOne-parameter isometry groups and inclusions between operator algebrasSpectral synthesis and the Fuglede-Putnam-Rosenblum theoremTranslation invariant pure state on \(\bigotimes _{\mathbb {Z}}M_d(\mathbb C)\) and Haag dualityTheorems of Katznelson-Tzafriri type for semigroups of operatorsOn an invariance property of the space of smooth vectorsA solution of the maximality problem for one-parameter dynamical systemsQuantum spectral symmetriesCrossed products of \(C^\ast\)-algebras for singular actionsSpectral theory for one-parameter groups of isometriesAutomorphisms of spectral lattices of unbounded positive operatorsAutomorphisms of spectral lattices of positive contractions on von Neumann algebrasCharacterization of inner \(^*\)-automorphisms of \(W^*\)-algebrasInner*-automorphisms of simple \(C^*\)-algebrasContinuous spectrum of automorphism groups and the infraparticle problemGroups of automorphisms with spectrum condition and the lifting problemThe Hardy spaces associated with a periodic flow on a von Neumann algebraInvariant subspaces of operator algebrasConvolutions for localization operatorsSpectral and ergodic properties of the analytic generatorsSpectra of Liouville operatorsAnalytic generators for one-parameter groupsDual action on a von Neumann algebra and Takesaki's duality for a locally compact groupPerturbations of flows on Banach spaces and operator algebrasEnergy spectrum of extremal invariant statesUnbounded derivations and invariant statesOn invariants \(G(\sigma)\) and \(\Gamma(\sigma)\) for an automorphism group of a von Neumann algebraRelative commutant of a von Neumann algebra in its crossed product by a group actionOn derivations of AW*-algebrasAnalyticity and flows in von Neumann algebrasSelfadjoint extension operators commuting with an algebraStability properties and the KMS conditionOn non-commutative Hardy spaces associated with flows on finite von Neumann algebrasSpectral order for Jordan triplesGround states of quantum spin systemsOn the \(K\)-theory of some \(C^*\)-algebras of Toeplitz and singular integral operatorsLocally constant nonproduct-type cocyclesErgodic actions by compact groups on C*-algebrasDerivations from subalgebras of operator algebras: Results and problems old and newDuality for crossed products and the structure of von Neumann algebras of type IIIA generalization of Macaev's theorem to non-commutative \(L^ p\)-spacesSpectral invariance of Besov-Bessel subalgebrasThe Banach algebras generated by representations of Abelian semigroupsDerived C\(^*\)-algebras of primitive C\(^*\)-algebrasSpectral subspaces for compact actionsSpectral theory for infinitesimal generators of one-parameter groups of isometries: The min-max principle and compact perturbationsA spectral characterization of KMS statesTAUBERIAN THEOREMS AND SPECTRAL THEORY IN TOPOLOGICAL VECTOR SPACESOn notion of asymptotic derivationsA Perron Frobenius theory for representations of locally compact Abelian groupsInvariant subspaces and cocyles in nonselfadjoint crossed productsAlmost periodicity of mild solutions of inhomogeneous periodic Cauchy problemsDerivations in \(C^*\)-algebras commuting with compact actionsSpectral theory of group representations and their nonstandard hullThe KMS condition and spectral passivity in group dualityFunctional dependence between the Hamiltonian and the modular operator associated with a faithful invariant state of a \(W^*\)-dynamical systemPassive quasi-free states of the noninteracting Fermi gasUnbounded derivations tangential to compact groups of automorphisms. IITranslation group and spectrum conditionHolomorphic Realization of Unitary Representations of Banach–Lie GroupsInvariant subspaces for algebras of analytic operators associated with a periodic flow on a finite von Neumann algebra



Cites Work


This page was built for publication: On groups of automorphisms of operator algebras