Approximating derivations on ideals of \(C^*\)-algebras

DOI10.1007/BF01403172zbMath0376.46040OpenAlexW2169214531MaRDI QIDQ1245470

Gert Kjaergård Pedersen

Publication date: 1978

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142548

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items

Quasi-product actions of a compact abelian group on a \(C^*\)-algebra, On the central Haagerup tensor product, Inner derivations and weak-2-local derivations on the \(\mathrm {C}^*\)-algebra \(C_0(L,A)\), Some simple C*-algebras constructed as crossed products with discrete outer automorphism groups, Duality for compact group actions on operator algebras and applications: Irreducible inclusions and Galois correspondence, The local multiplier algebra of a C\(^*\)-algebra. II, Derivations implemented by local multipliers, On derivations and elementary operators on C*-algebras, The local multiplier algebra of a \(C^\ast\)-algebra with finite dimensional irreducible representations, A not so simple local multiplier algebra, Hulls of semiprime rings with applications to \(C^*\)-algebras., Generalized skew derivations implemented by elementary operators., On the symmetric algebra of quotients of a C^*-algebra, MODULES WITH FI-EXTENDING HULLS, Derivations from subalgebras of operator algebras: Results and problems old and new, The structure of rings of quotients., The cb-norm approximation of generalized skew derivations by elementary operators, Applications of the Connes spectrum to C*-dynamical systems. III, Derivations of subhomogeneous $C^*$-algebras are implemented by local multipliers, A local version of the Dauns-Hoffmann theorem

Cites Work

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• Derivations of C\(^*\)-algebras have semi-continuous generators
• Derivations determined by multipliers on ideals of a \(C^*\)-algebra
• Automorphisms determined by multipliers on ideals of a \(C^*\)-algebra
• Complications of semicontinuity in \(C^*\)-algebra theory
• On lifting and extending derivations of approximately finite-dimensional C\(^*\)-algebras
• Applications of weak\(^*\) semicontinuity in \(C^*\)-algebra theory
• Multipliers of C -algebras
• Derived C\(^*\)-algebras of primitive C\(^*\)-algebras
• Shorter Notes: Derivations of C ∗ -Algebras which are not Determined by Multipliers in any Quotient Algebra
• Derivations and Multipliers of C ∗ -Algebras
• Measure Theory for $C^*$ Algebras III.