Vol. 18, No. 2, 1966

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On the spectral radius of hermitian elements in group algebras

Andrzej Hulanicki

Vol. 18 (1966), No. 2, 277–287

Let G be a discrete group and A the L1 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 A. 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 A of F is symmetric.

Mathematical Subject Classification
Primary: 46.80
Secondary: 42.56
Received: 10 January 1965
Published: 1 August 1966
Andrzej Hulanicki