Triviality of outer derivations in lp(G) for one class of groups

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Abstract

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.

About the authors

A. A. Arutyunov

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences

Author for correspondence.
Email: andronick.arutyunov@gmail.com
Moscow, Russia

A. V. Naianzin

Moscow Institute of Physics and Technology (National Research University)

Email: naianzin.av@phystech.edu
Dolgoprudny, Russia

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