location:  Publications → journals → CMB
Abstract view

# F{\o}lner Nets for Semidirect Products of Amenable Groups

For unimodular semidirect products of locally compact amenable groups $N$ and $H$, we show that one can always construct a F{\o}lner net of the form $(A_\alpha \times B_\beta)$ for $G$, where $(A_\alpha)$ is a strong form of F{\o}lner net for $N$ and $(B_\beta)$ is any F{\o}lner net for $H$. Applications to the Heisenberg and Euclidean motion groups are provided.
 MSC Classifications: 22D05 - General properties and structure of locally compact groups 43A07 - Means on groups, semigroups, etc.; amenable groups 22D15 - Group algebras of locally compact groups 43A20 - $L^1$-algebras on groups, semigroups, etc.