Geodesic
Some Algebraic Structure in the Dual of a Compact Group
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1499-1510

Voir la notice de l'article provenant de la source Cambridge University Press

Throughout this paper, G will denote a compact (Hausdorff) topological group with identity e. When G is abelian, there is no difficulty in relating the group multiplication in G to the multiplication in the dual of G since characters are homomorphisms with respect to pointwise multiplication and pointwise multiplication of characters yields another character. However, in the non-abelian case, there are two multiplications associated with the dual of G: (1) representations are homomorphisms with respect to composition multiplication, and (2) the tensor product of representations yields another representation. 
Iltis, Richard. Some Algebraic Structure in the Dual of a Compact Group. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1499-1510. doi: 10.4153/CJM-1968-150-1
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