Geodesic
Biprojective Banach algebras
Izvestiya. Mathematics , Tome 15 (1980) no. 2, pp. 387-399

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This paper studies the structure of biprojective semisimple Banach algebras having the approximation property. It is shown that every such algebra can be represented as the completion of a direct sum of topologically simple biprojective Banach algebras. The component parts of this sum are described as algebras of nuclear operators generated by a dual pair. Furthermore, the closed ideals of such algebras are studied. Bibliography: 16 titles. 
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     author = {Yu. V. Selivanov},
     title = {Biprojective {Banach} algebras},
     journal = {Izvestiya. Mathematics },
     pages = {387--399},
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     volume = {15},
     number = {2},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1980_15_2_a7/}
}
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Yu. V. Selivanov. Biprojective Banach algebras. Izvestiya. Mathematics , Tome 15 (1980) no. 2, pp. 387-399. http://geodesic.mathdoc.fr/item/IM2_1980_15_2_a7/