Geodesic
A~smooth version of Johnson's problem on derivations of group algebras
Sbornik. Mathematics, Tome 210 (2019) no. 6, pp. 756-782

Voir la notice de l'article provenant de la source Math-Net.Ru

We give a description of the algebra of outer derivations of the group algebra of a finitely presented discrete group in terms of the Cayley complex of the groupoid of the adjoint action of the group. This problem is a smooth version of Johnson's problem on derivations of a group algebra. We show that the algebra of outer derivations is isomorphic to the one-dimensional compactly supported cohomology group of the Cayley complex over the field of complex numbers. Bibliography: 34 titles.
Keywords: derivations, Cayley complexes, Hochschild cohomology.
Mots-clés : group algebras, groupoids 
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     author = {A. A. Arutyunov and A. S. Mishchenko},
     title = {A~smooth version of {Johnson's} problem on derivations of group algebras},
     journal = {Sbornik. Mathematics},
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     publisher = {mathdoc},
     volume = {210},
     number = {6},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2019_210_6_a0/}
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A. A. Arutyunov; A. S. Mishchenko. A~smooth version of Johnson's problem on derivations of group algebras. Sbornik. Mathematics, Tome 210 (2019) no. 6, pp. 756-782. http://geodesic.mathdoc.fr/item/SM_2019_210_6_a0/