Geodesic
On a~method for calculating and estimating the global homological dimension of Banach algebras
Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 125-138

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It is proved that the global dimension of a certain class of “near to commutative” $C^*$-algebras and group algebras is not less than two, and there are discussed conditions under which exact equality holds. Bibliography: 11 titles. 
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     author = {A. Ya. Helemskii},
     title = {On a~method for calculating and estimating the global homological dimension of {Banach} algebras},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_16_1_a8/}
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A. Ya. Helemskii. On a~method for calculating and estimating the global homological dimension of Banach algebras. Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 125-138. http://geodesic.mathdoc.fr/item/SM_1972_16_1_a8/