Geodesic
Homotopy properties of the general linear group of the Hilbert module $l_2(A)$
Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 365-376 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper proves that the groups $\pi_k(GL^*(l_2(A)))$ are trivial for all natural numbers $k$, where $A$ is an arbitrary $C^*$-algebra. Bibliography: 2 titles. 
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     title = {Homotopy properties of the general linear group of the {Hilbert} module $l_2(A)$},
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     url = {http://geodesic.mathdoc.fr/item/SM_1984_47_2_a5/}
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V. A. Kasimov. Homotopy properties of the general linear group of the Hilbert module $l_2(A)$. Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 365-376. http://geodesic.mathdoc.fr/item/SM_1984_47_2_a5/

[1] Kyuiper N., “Gomotopicheskii tip unitarnoi gruppy gilbertova prostranstva”, Atya M. Lektsii po $K$-teorii, Mir, M., 1967, 241–260

[2] Mischenko A. S., Fomenko A. T., “Indeks ellipticheskikh operatorov nad $C^*$-algebrami”, Izv. AN SSSR. Seriya matem., 43 (1979), 831–859 | MR | Zbl