HOMOTOPY PROPERTIES OF THE GENERAL LINEAR GROUP OF THE HILBERT MODULE $ l_2(A)$

DOI10.1070/SM1984V047N02ABEH002648zbMath0536.46049OpenAlexW2017991431MaRDI QIDQ3320944

V. A. Kasimov

Publication date: 1984

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1984v047n02abeh002648

zbMATH Keywords

homotopy groupsbounded morphisms of a countable type Hilbert module over a \(C^*\)-algebraKuiper's theorem on trivial homotopy typemorphisms having an adjointtriviality of all homotopic groups

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Groups and semigroups of linear operators (47D03) 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) Homotopy groups of special spaces (55Q52)

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