Covering spaces and the Galois theory of commutative Banach algebras

DOI10.1016/0022-1236(84)90008-9zbMath0569.46032OpenAlexW2088277267MaRDI QIDQ1061355

William R. Zame

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90008-9

zbMATH Keywords

Galois extensionRiemann surfaceholomorphic functionsseparable closurebijective correspondence between the projective separable extensions of a commutative Banach algebra and the finite covering spaces of its maximal ideal spacepolynomial polyhedron

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Automorphisms and endomorphisms (16W20) Banach algebras of continuous functions, function algebras (46J10) Galois theory and commutative ring extensions (13B05)

Cites Work

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• Algebraically separable extensions of Banach algebras
• Topological invariants of the maximal ideal space of a Banach algebra
• Cyclic extensions of Banach algebras
• Commutative Abelian Galois extensions of a Banach algebra
• Galois theory for Banach algebras
• On covering spaces and Galois extensions
• Separable algebras over commutative rings
• Analytic functions of several Banach algebra elements
• On the decomposition of a commutative normed ring into a direct sum of ideals
• Algebraic Extension of Normed Algebras
• Function algebras
• UNRAMIFIED ALGEBRAIC EXTENSIONS OF COMMUTATIVE BANACH ALGEBRAS
• Factorization of Polynomials Over Banach Algebras
• A Condition Equivalent to the Continuity of Characters on a Fréchet Algebra

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