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- W2990224459 abstract "In this short note we answer a query of Brodzki, Niblo, Spakula, Willett and Wright by showing that all bounded degree uniformly locally amenable graphs have Property A. For the second result of the note recall that Kaiser proved that if $Gamma$ is a finitely generated group and ${H_i}^infty_{i=1}$ is a Farber sequence of finite index subgroups, then the associated Schreier graph sequence is of Property A if and only if the group is amenable. We show however, that there exist a non-amenable group and a nested sequence of finite index subgroups ${H_i}^infty_{i=1}$ such that $cap H={e_Gamma}$, and the associated Schreier graph sequence is of Property A." @default.
- W2990224459 created "2019-12-05" @default.
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- W2990224459 date "2019-12-02" @default.
- W2990224459 modified "2023-09-27" @default.
- W2990224459 title "Uniform Local Amenability implies Property A" @default.
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