On the topology of classical groups and homogeneous spaces associated with a \(W^ *\)-algebra factor

DOI10.1007/BF01196121zbMath0642.58006OpenAlexW321704868MaRDI QIDQ1101747

B. George

Publication date: 1987

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196121

zbMATH Keywords

homogeneous spaceshomotopy typeGrassmann manifoldBanach manifold\(W^ *\)-algebra factorskew-adjoint unitariesSp(n,R)U(n,m,\({bbfC})\)

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) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items (1)

On the geometry of the set of square roots of elements in \(C^*\)- algebras

Cites Work

• On the homotopy type of the regular group of a real \(W^ *\)-algebra
• On the homotopy type of the group of regular elements of semifinite von Neuman algebras
• Note on Factor Spaces
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