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arXiv · 2105.11359

Examples of measures with trivial left and non-trivial right random walk tail boundary

Andrei Alpeev
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Abstract

In early 80's Vadim Kaimanovich presented a construction of a non-degenerate measure, on the standard lamplighter group, that has a trivial left and non-trivial right random walk tail boundary. We show that examples of such kind are possible precisely for amenable groups that have non-trivial factors with infinite conjugacy classes property.

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Andrei Alpeev. 2021-05-24. Examples of measures with trivial left and non-trivial right random walk tail boundary. https://arxiv.org/abs/2105.11359

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