Continuous vector bundles over topological algebras

DOI10.1016/0022-247X(86)90348-3zbMath0659.46064MaRDI QIDQ1112301

Anastasios Mallios

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

K-theoryChern characterCW-complexescomplex vector bundlesWaelbroeck algebralocally m-convex topological *-algebras with an identity elementQ-algebras

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (5)

On finitely generated projective modules ⋮ On a category of module bundles ⋮ A Serre‐Swan Theorem for Bundles of Topological Modules ⋮ Differentiation in modules over topological *-algebras ⋮ Continuous vector bundles over topological algebras. II

Cites Work

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• Second quantization, projective modules, and local gauge invariance
• Vector bundles and K-theory over topological algebras
• Description of closed ideals in algebras of continuous vector-valued functions
• Continuous vector bundles over topological algebras. II
• Hermitian K-theory over topological *-algebras
• Introduction to Algebraic K-Theory. (AM-72)
• Topological Rings
• Locally multiplicatively-convex topological algebras

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