Geodesic
The spectrum of dynamical systems and the Riesz products
Sbornik. Mathematics, Tome 67 (1990) no. 2, pp. 341-366

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A group representation generating the Mackey action is considered. Its decomposition into irreducible representations is studied; this leads to the classical Riesz products and their generalizations (also noncommutative). Some connections with the tail $\sigma$-algebra of random walks on the groups are indicated. Bibliography: 12 titles. 
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     author = {R. S. Ismagilov},
     title = {The spectrum of dynamical systems and the {Riesz} products},
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R. S. Ismagilov. The spectrum of dynamical systems and the Riesz products. Sbornik. Mathematics, Tome 67 (1990) no. 2, pp. 341-366. http://geodesic.mathdoc.fr/item/SM_1990_67_2_a1/