How can I hide the header of a WPF ListView?

Define a Style like so

<Window.Resources>
    ....
    <Style x:Key="myHeaderStyle" TargetType="{x:Type GridViewColumnHeader}">
        <Setter Property="Visibility" Value="Collapsed" />
    </Style>
</Window.Resources>

Apply it like so

<GridView ColumnHeaderContainerStyle="{StaticResource myHeaderStyle}">
    ....
</GridView>