Geodesic
Derivations of group algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 6, pp. 65-78 
A. A. Arutyunov; A. S. Mishchenko; A. I. Shtern. Derivations of group algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 6, pp. 65-78. http://geodesic.mathdoc.fr/item/FPM_2016_21_6_a1/
@article{FPM_2016_21_6_a1,
     author = {A. A. Arutyunov and A. S. Mishchenko and A. I. Shtern},
     title = {Derivations of group algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {65--78},
     year = {2016},
     volume = {21},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2016_21_6_a1/}
}
TY  - JOUR
AU  - A. A. Arutyunov
AU  - A. S. Mishchenko
AU  - A. I. Shtern
TI  - Derivations of group algebras
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2016
SP  - 65
EP  - 78
VL  - 21
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/FPM_2016_21_6_a1/
LA  - ru
ID  - FPM_2016_21_6_a1
ER  - 
%0 Journal Article
%A A. A. Arutyunov
%A A. S. Mishchenko
%A A. I. Shtern
%T Derivations of group algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2016
%P 65-78
%V 21
%N 6
%U http://geodesic.mathdoc.fr/item/FPM_2016_21_6_a1/
%G ru
%F FPM_2016_21_6_a1

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

In the paper, a method of describing the outer derivations of the group algebra of a finitely presentable group is given. The description of derivations is given in terms of characters of the groupoid of the adjoint action of the group.

[1] Ershov A. V., Kategorii i funktory, Nauka, Saratov, 2012

[2] Connes A., Noncommutative Geometry, Academic Press, London, 1994 | MR | Zbl

[3] Dales H. G., “Automatic continuity: a survey”, Bull. London Math. Soc., 10 (1978), 129–183 | DOI | MR | Zbl

[4] Dales H. G., Banach Algebras and Automatic Continuity, Clarendon press, Oxford, 2000 | MR | Zbl

[5] Ghahramani F., Runde V., Willis G., “Derivations on group algebras”, Proc. London Math. Soc., 80 (2000), 360–390 | DOI | MR | Zbl

[6] Johnson B. E., “The derivation problem for group algebras of connected locally compact groups”, J. London Math. Soc., 63:2 (2001), 441–452 | DOI | MR | Zbl

[7] Losert V., “The derivation problem for group algebras”, Ann. Math., 168 (2008), 221–246 | DOI | MR | Zbl