Abstract
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.
Similar content being viewed by others
References
A. Connes, Noncommutative Geometry, Academic Press, New York (1994).
H. G. Dales, “Automatic continuity: a survey,” Bull. London Math. Soc., 10, No. 2, 129–183 (1978).
H. G. Dales, Banach Algebras and Automatic Continuity, Clarendon Press, Oxford Univ. Press, New York (2000).
A. V. Ershov, Categories and Functors [in Russian], Nauka, Saratov (2012).
F. Ghahramani, V. Runde, and G. Willis, “Derivations on group algebras,” Proc. London Math. Soc., 80, No. 2, 360–390 (2000).
B. E. Johnson, “The derivation problem for group algebras of connected locally compact groups,” J. London Math. Soc., 63, No. 2, 441–452 (2001).
V. Losert, “The derivation problem for group algebras,” Ann. Math., 168, No. 1, 221–246 (2008).
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to the memory of Yu. P. Solovyov
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 21, No. 6, pp. 65–78, 2016.
Rights and permissions
About this article
Cite this article
Arutyunov, A.A., Mishchenko, A.S. & Shtern, A.I. Derivations of Group Algebras. J Math Sci 248, 709–718 (2020). https://doi.org/10.1007/s10958-020-04906-x
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-020-04906-x