Derivations of subhomogeneous $C^*$-algebras are implemented by local multipliers

DOI10.1090/S0002-9939-2013-11762-4zbMath1282.46062OpenAlexW2054872035MaRDI QIDQ2846919

Ilja Gogić

Publication date: 4 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11762-4

zbMATH Keywords

\(C^\ast\)-algebraderivationsubhomogeneouslocal multiplier algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (3)

Inner derivations and weak-2-local derivations on the \(\mathrm {C}^*\)-algebra \(C_0(L,A)\) ⋮ The local multiplier algebra of a \(C^\ast\)-algebra with finite dimensional irreducible representations ⋮ The cb-norm approximation of generalized skew derivations by elementary operators

Cites Work

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• The structure of algebras of operator fields
• Automorphisms determined by multipliers on ideals of a \(C^*\)-algebra
• Approximating derivations on ideals of \(C^*\)-algebras
• Separation properties in the primitive ideal space of a multiplier algebra
• Some C\(^*\)-algebras with outer derivations
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Derivations which are inner as completely bounded maps
• Derivations and Automorphisms of Homogeneous C*-Algebras
• Derivations and Multipliers of C ∗ -Algebras

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