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Følner Nets for Semidirect Products of Amenable Groups

Published online by Cambridge University Press:  20 November 2018

David Janzen
David Janzen*
Affiliation:
Department of Mathematics and Statistics, McGill University, 805 Sherbrooke St. West, Montreal, QC, H3A 2K6 e-mail: [email protected]
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Abstract

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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.

Keywords

22D0543A0722D1543A20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 1 , 01 March 2008 , pp. 60 - 66
Copyright
Copyright © Canadian Mathematical Society 2008

References

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