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In recent years there was a growing interest in the problem of symmetry of involutive Banach algebras. In particular very substantial progress has been made towards a solution of the problem of characterizations of such locally compact groups G for which the group algebra Lι(G) is symmetric. The most striking results in this direction are due to J. Jenkins, who first proved that the discrete "a% + 6 "-group has a nonsymmetric algebra [3] and that the same

On symmetry of some Banach algebras