Unbounded derivations of \(C^*\)-algebras

DOI10.1007/BF01608976zbMath0302.46043MaRDI QIDQ1215927

Ola Bratteli, Derek W. Robinson

Publication date: 1975

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of (C^*)-algebras (46L05)

Related Items (49)

Classical dynamics from self-consistency equations in quantum mechanics ⋮ Unnamed Item ⋮ Reflexive \(^*\)-derivations and lattices of invariant subspaces of operator algebras associated with them ⋮ A theory of local negation: The model and some applications ⋮ DenseQ-subalgebras of Banach andC*-algebras and unbounded derivations of Banach andC*-algebras ⋮ Symmetric operator extensions of unbounded derivations of \(C^*\)- algebras ⋮ Totally symmetric algebras and the similarity problem ⋮ Derivations on Algebras of Unbounded Operators ⋮ On formal power series over topological algebras ⋮ Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices ⋮ Equilibrium states of gravitational systems ⋮ Generation of semigroups, and two-dimensional quantum lattice systems ⋮ Automatic relative boundedness of derivations in \(C*\)-algebras ⋮ Closed derivations in \(C^*\)-algebras ⋮ Decomposition of unbounded derivations in operator algebras ⋮ On representations of groups and algebras in spaces with indefinite metric ⋮ Closed derivations in commutative C*-algebras ⋮ States and derivations on quasi-*-algebras ⋮ Memory estimation of inverse operators ⋮ Self-adjoint operators, derivations and automorphisms on C*-algebras ⋮ On some applications of representable and continuous functionals of Banach quasi \(^\ast \)-algebras ⋮ Operator differentiable functions ⋮ Domains of infinitesimal generators of automorphism flows ⋮ Unbounded derivations of \(C^*\)-algebras II ⋮ Unbounded derivations and invariant trace states ⋮ Dissipations and derivations ⋮ Classical KMS condition and Tomita-Takesaki theory ⋮ On action of diffeomorphisms of \(C^{\ast}\)-algebras on derivations ⋮ Approximately reducing subspaces for unbounded linear operators ⋮ Trace states and KMS states for approximately inner dynamical one- parameter groups of \(^*\)-automorphisms ⋮ Spectra of Liouville operators ⋮ Irreversible dynamics of infinite Fermion systems ⋮ On the representation of differentiations by Hamiltonians, operating from an algebra of local observable spin systems ⋮ On domains of unbounded derivations of generalized \({B}^{*}\)-algebras ⋮ On perturbed derivations of \(C^*\) algebras ⋮ Unbounded derivations of commutative \(C^*\)-algebras ⋮ On one-parameter groups of automorphisms, and extensions of symmetric operators associated with unbounded derivations in operator algebras ⋮ Certain operator algebras induced by \(^*\)-derivations in \(C^*\)-algebras on an indefinite inner product space ⋮ Functions and derivations of \(C^*\)-algebras ⋮ On supersymmetric fermion lattice systems ⋮ Heisenberg dynamics. Covariant representations ⋮ Implementation of derivations and invariant subspaces ⋮ Differential Banach *-algebras of compact operators associated with symmetric operators ⋮ Spectral invariance of Besov-Bessel subalgebras ⋮ Unbounded derivations and \(^*\)-automorphisms groups of Banach quasi \(^*\)-algebras ⋮ Bi-representations and semi-groups ⋮ Extension of derivations in the algebra of compact operators ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS ⋮ Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytic vectors
• A liminal crossed product of a uniformly hyperfinite \(C^ *\)-algebra by a compact abelian automorphism group
• Representations, automorphisms, and derivations of some operator algebras
• Derivations of matroid \(C^*\)-algebras

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