Folner Nets for Semidirect Products of Amenable Groups

• Autores: David Janzen
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 51, Nº 1, 2008, págs. 60-66
• Idioma: inglés
• DOI: 10.4153/cmb-2008-008-7
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• Resumen

  • For unimodular semidirect products of locally compact amenable groups N and H, we show that one can always construct a Folner net of the form (Aalpha \times Bbeta) for G, where (Aalpha) is a strong form of Folner net for N and (Bbeta) is any Folner net for H. Applications to the Heisenberg and Euclidean motion groups are provided.