An alternative to H.B.’s method is just to set the Visibility to hidden and set ShowInTaskbar to false. This still creates the window and lets it do its thing.
<Window x:Class="WpfApplication2.MainWindow"
xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
Title="MainWindow" Height="350" Width="525" ShowInTaskbar="False" Visibility="Hidden">
<Grid>
</Grid>
</Window>