Description of the cohomology of Banach algebras and locally convex algebras in the language of $A_\infty$-structures
Izvestiya. Mathematics, Tome 62 (1998) no. 4, pp. 789-805
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We consider the following problem: how can one apply the methods employed for describing the cohomology of algebras and based on the use of the $A_\infty$-structures of Stasheff to describe the cohomology of Banach algebras and locally convex algebras.
[1] Gugenheim V. K., May J. P., “On the theory and applications of differential torsion products”, Mem. AMS, 142 (1974), 1–93 | MR
[2] Stasheff J. D., “Homotopy associativity of $H$-spaces”, Trans. Amer. Math. Soc., 108:2 (1963), 275–312 | DOI | MR | Zbl
[3] Smirnov V. A., “Gomologii $B$-konstruktsii i ko-$B$-konstruktsii”, Izv. RAN. Ser. matem., 58:4 (1994), 80–96 | MR | Zbl
[4] Khelemskii A. Ya., Banakhovy i polinormirovannye algebry, Nauka, M., 1989 | MR