THE DAUNS–HOFMANN THEOREM REVISITED

DOI10.1142/S0219498811004409zbMath1234.46043OpenAlexW1988218490MaRDI QIDQ2995428

Karl Heinrich Hofmann

Publication date: 21 April 2011

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498811004409

zbMATH Keywords

\(C^*\)-algebrasheaf representationmaximal spectrumprimitive spectrumbundle representationDauns-Hofmann TheoremGelfand-Naimark Theorem

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Associative rings and algebras with additional structure (16W99)

Related Items (2)

The primitive spectrum of a semigroup of Markov operators ⋮ Module bundles and module amenability

Cites Work

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• A few remarks on the Dauns-Hofmann theorems for \(C^*\)-algebras
• Property (T) for topological groups and \(C^*\)-algebras
• Applications of fibre bundles to the certain class of \(C^*\)-algebras
• Banach sheaves
• Enveloping \(W^*\)-algebras
• Spectral theory of algebras and adjunction of identity
• The representation of biregular rings by sheaves
• Ideal center of a \(C^*\)-algebra
• Representation of l-groups and f-rings
• Topological representation of \(C^ *\)-algebras
• A globalisation of the Gelfand duality theorem
• SHEAVES OF BANACH SPEACES
• An Abstract Dauns-Hofmann-Kaplansky Multiplier Theorem
• A non-commutative Gel'fand-Naimark theorem
• The Primitive Ideal Space of a C*-Algebra
• A Simple Proof of the Dauns-Hofmann Theorem.
• Representation of 𝐹-rings
• Representations of algebras by continuous sections
• Sheaves of C*‐algebras

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