A local version of the Dauns-Hoffmann theorem

DOI10.1007/BF02571531zbMath0726.46042OpenAlexW1998385924MaRDI QIDQ803889

Martin Mathieu, Pere Ara

Publication date: 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174322

zbMATH Keywords

extended centroid\(C^ *\)-algebracenter of the multiplier algebraDauns-Hofmann theoremcontinuous functions on the Stone-Čech compactificationlocal multiplier algebraprimitive spectrumsymmetric ring of quotients

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Inductive and projective limits in functional analysis (46M40) Rings and algebras of continuous, differentiable or analytic functions (46E25) Structure, classification of topological algebras (46H20) Topological (rings and) algebras with an involution (46K99)

Related Items

On the central Haagerup tensor product ⋮ The local multiplier algebra of a C\(^*\)-algebra. II ⋮ Derivations implemented by local multipliers ⋮ MODULES WITH FI-EXTENDING HULLS

Cites Work

• Computing the symmetric ring of quotients
• Elementary operators on prime \(C^*\)-algebras. I
• The extend centroid of C*-algebras
• Automorphisms determined by multipliers on ideals of a \(C^*\)-algebra
• Approximating derivations on ideals of \(C^*\)-algebras
• On the symmetric algebra of quotients of a C^*-algebra
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