Smooth Version of Johnson's Problem Concerning Derivations of Group Algebras
Algebraic Topology
2021-04-20 v2 Category Theory
Functional Analysis
Group Theory
Abstract
A description of the algebra of outer derivations of a group algebra of a finitely presented discrete group is given in terms of the Cayley complex of the groupoid of the adjoint action of the group. This task is a smooth version of Johnson's problem concerning the derivations of a group algebra. It is shown that the algebra of outer derivations is isomorphic to the group of the one-dimensional cohomology with compact supports of the Cayley complex over the field of complex numbers.
Keywords
Cite
@article{arxiv.1801.03480,
title = {Smooth Version of Johnson's Problem Concerning Derivations of Group Algebras},
author = {A. A. Arutyunov and A. S. Mishchenko},
journal= {arXiv preprint arXiv:1801.03480},
year = {2021}
}
Comments
20 pages