Triviality of outer derivations in $\ell_p(G)$ for one class of groups

A. A. Arutyunov ; A. V. Naianzin

Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 70 (2024) no. 3, pp. 356-374.

Résumé

In this paper, we study derivations in group rings completed by various types of norms. The main attention is paid to the class of groups in which conjugations act in a controlled manner in some sense. Using the method of identifying derivations and characters on some category, we obtain an alternative way of proving that for this class of groups all derivations are inner.

Détail

Keywords: derivation on algebras, outer derivation, inner derivation, character.

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