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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb. (N.S.), 1982 Volume 119(161), Number 3(11), Pages 376–386 (Mi sm2890)
This article is cited in 2 papers

Homotopy properties of the general linear group of the Hilbert module $l_2(A)$

V. A. Kasimov


Abstract: 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.

UDC: 513.836

MSC: Primary 57T20, 55Q52; Secondary 46L99, 47D25, 47D10

Received: 22.09.1981


 English version: Mathematics of the USSR-Sbornik, 1984, 47:2, 365–376

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© Steklov Math. Inst. of RAS, 2024