Amenability via random walks

Abstract

We answer an open question of Grigorchuk and Zuk about amenability using random walks. Our results separate the class of amenable groups from the closure of subexponentially growing groups under the operations of group extension and direct limits; these classes are separated even within the realm of finitely presented groups.

11 pages, 2 figures

References in corpus (1)

• Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces

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