A non-commutative Gel'fand-Naimark theorem

DOI10.1017/S0305004100057777zbMath0507.46058OpenAlexW2152938328MaRDI QIDQ4744813

Christopher J. Mulvey

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1017/s0305004100057777

zbMATH Keywords

categories of sheavesDauns- Hofmann theoremnon-commutative Gel'fand-Naimark theoremsections of a sheaf of C*-algebras

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (5)

Contextuality and noncommutative geometry in quantum mechanics ⋮ THE DAUNS–HOFMANN THEOREM REVISITED ⋮ THE GELFAND SPECTRUM OF A NONCOMMUTATIVE C*-ALGEBRA: A TOPOS-THEORETIC APPROACH ⋮ A constructive proof of the Stone-Weierstrass theorem ⋮ A globalisation of the Gelfand duality theorem

Cites Work

• Banach sheaves
• A Categorical Characterisation of Compactness
• Representations of algebras by continuous sections
• Unnamed Item

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