Geodesic
A locally compact group algebra having trivial two-dimensional Banach cohomology groups is compact
Doklady Akademii Nauk, Tome 203 (1972) no. 5, pp. 1004-1007.

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@article{DAN_1972_203_5_a7,
     author = {A. Ya. Helemskii},
     title = {A locally compact group algebra having trivial two-dimensional {Banach} cohomology groups is compact},
     journal = {Doklady Akademii Nauk},
     pages = {1004--1007},
     publisher = {mathdoc},
     volume = {203},
     number = {5},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DAN_1972_203_5_a7/}
}
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A. Ya. Helemskii. A locally compact group algebra having trivial two-dimensional Banach cohomology groups is compact. Doklady Akademii Nauk, Tome 203 (1972) no. 5, pp. 1004-1007. http://geodesic.mathdoc.fr/item/DAN_1972_203_5_a7/