On the homotopy type of the regular group of a \(W^*\)-algebra

DOI10.1007/BF01579203zbMath0525.46040OpenAlexW4251741828MaRDI QIDQ594357

Herbert Schröder

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/163893

zbMATH Keywords

fibrationexact homotopy sequencefinite continuous W*-algebragroup of regular elementsperiodicity theorem

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (2)

Continuous selections and stable rank of Banach algebras ⋮ PROJECTIVE SPACE OF A C^*-MODULE

Cites Work

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• Continuous selections. I
• A homotopy theoretic proof of the additivity of the trace
• Theory of Fredholm operators and vector bundles relative to a von Neumann algebra
• On the homotopy type of the group of regular elements of semifinite von Neuman algebras
• On the homotopical significance of the type of von Neumann algebra factors
• Convex Structures and Continuous Selections
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• K₀ OF VON NEUMANN AND AF C^* ALGEBRAS
• Algebraic topology and elliptic operators
• An extremal property of the polar decomposition in von Neumann algebras

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