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APPLICATION OF THE GROUP ALGEBRA OF THE PROBLEM OF THE TAIL σ-ALGEBRA OF A RANDOM WALK ON A GROUP AND THE PROBLEM OF ERGODICITY OF A SKEW-PRODUCT ACTION

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DOI10.1070/IM1988V031N01ABEH001061zbMath0659.60022OpenAlexW2163739455MaRDI QIDQ3808930

R. S. Ismagilov

Publication date: 1988

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1988v031n01abeh001061


zbMATH Keywords

random walksamenable groupsexistence of the cocycle of ergodic actiontriviality of the tail \(\sigma\)-algebra


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Ergodic theory on groups (22D40) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)








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