Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 365-376
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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/
@article{SM_1984_47_2_a5,
author = {V. A. Kasimov},
title = {Homotopy properties of the general linear group of the {Hilbert} module $l_2(A)$},
journal = {Sbornik. Mathematics},
pages = {365--376},
year = {1984},
volume = {47},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1984_47_2_a5/}
}
TY - JOUR
AU - V. A. Kasimov
TI - Homotopy properties of the general linear group of the Hilbert module $l_2(A)$
JO - Sbornik. Mathematics
PY - 1984
SP - 365
EP - 376
VL - 47
IS - 2
UR - http://geodesic.mathdoc.fr/item/SM_1984_47_2_a5/
LA - en
ID - SM_1984_47_2_a5
ER -
%0 Journal Article
%A V. A. Kasimov
%T Homotopy properties of the general linear group of the Hilbert module $l_2(A)$
%J Sbornik. Mathematics
%D 1984
%P 365-376
%V 47
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1984_47_2_a5/
%G en
%F SM_1984_47_2_a5
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.
