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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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/

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