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.
@article{IM2_1988_31_1_a8,
author = {R. S. Ismagilov},
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},
journal = {Izvestiya. Mathematics },
pages = {209--222},
publisher = {mathdoc},
volume = {31},
number = {1},
year = {1988},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1988_31_1_a8/}
}
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%0 Journal Article %A R. S. Ismagilov %T 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 %J Izvestiya. Mathematics %D 1988 %P 209-222 %V 31 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_1988_31_1_a8/ %G en %F IM2_1988_31_1_a8
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/