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
DOI10.1070/IM1988V031N01ABEH001061zbMath0659.60022OpenAlexW2163739455MaRDI QIDQ3808930
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
random walksamenable groupsexistence of the cocycle of ergodic actiontriviality of the tail \(\sigma\)-algebra
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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