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

DOI10.1007/BF01195808zbMath0608.46047MaRDI QIDQ1086475

Herbert Schröder

Publication date: 1986

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

zbMATH Keywords

fundamental groupcharacterize a \(W^ *\)-algebra factorHigher homotopy groupshomotopical structure of its unitary grouppurely real \(W^ *\)-algebrastable unitary group

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of von Neumann algebras (46L10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (2)

A note on the classification of UHF-algebras ⋮ On the topology of classical groups and homogeneous spaces associated with a \(W^ *\)-algebra factor

Cites Work

• Some James numbers of Stiefel manifolds
• Unitaries and Partial Isometries in a Real W ∗ -Algebra
• Algèbres de Clifford et $K$-théorie
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