Geodesic
Application of the group algebra of the problem of the tail $\sigma$-algebra of a~random walk on a~group and the problem of ergodicity of a~skew-product action
Izvestiya. Mathematics , Tome 31 (1988) no. 1, pp. 209-222

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Two problems in measure theory are considered: that of the tail $C^*$- algebra of a random walk on a group, and that of ergodicity of a skew-product action. These problems are solved in a uniform way by using Banach algebras and harmonic analysis on a group. Bibliography: 22 titles. 
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     title = {Application of the group algebra of the problem of the tail $\sigma$-algebra of a~random walk on a~group and the problem of ergodicity of a~skew-product action},
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R. S. Ismagilov. Application of the group algebra of the problem of the tail $\sigma$-algebra of a~random walk on a~group and the problem of ergodicity of a~skew-product action. Izvestiya. Mathematics , Tome 31 (1988) no. 1, pp. 209-222. http://geodesic.mathdoc.fr/item/IM2_1988_31_1_a8/