On the spectral radius of hermitian elements in group algebras

Andrzej Hulanicki · Pacific Journal of Mathematics · 1966

Let G be a discrete group and 21 the Zα algebra over the field of complex numbers of G.The aim of the paper is to consider some combinatorial conditions on the group G which imply symmetry of the algebra SI.One result is as follows:If a group F contains a subgroup G of finite index such that any element of G has finitely many conjugates, then the group algebra % of F is symmetric.

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