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Følner Nets for Semidirect Products of Amenable Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
For unimodular semidirect products of locally compact amenable groups $N$ and $H$, we show that one can always construct a Følner net of the form $({{A}_{\alpha }}\,\times \,{{B}_{\beta }})$ for $G$, where $({{A}_{\alpha }})$ is a strong form of Følner net for $N$ and $({{B}_{\beta }})$ is any Følner net for $H$. Applications to the Heisenberg and Euclidean motion groups are provided.
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- Copyright © Canadian Mathematical Society 2008
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