Geodesic
Derivation Algebra in Noncommutative Group Algebras
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 28-41

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For a generally infinite noncommutative discrete group $G$, we study derivation algebras in the group algebra of $G$ in terms of characters on a groupoid associated with the group. We obtain necessary conditions for a character to define a derivation. Using these conditions, we analyze some examples. In particular, we describe a derivation algebra in the case when the group is a nilpotent group of rank $2$. 
@article{TM_2020_308_a1,
     author = {A. A. Arutyunov},
     title = {Derivation {Algebra} in {Noncommutative} {Group} {Algebras}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {28--41},
     publisher = {mathdoc},
     volume = {308},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_308_a1/}
}
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A. A. Arutyunov. Derivation Algebra in Noncommutative Group Algebras. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 28-41. http://geodesic.mathdoc.fr/item/TM_2020_308_a1/