I would like to remove the border and the dropdown arrow from the combobox so I can just use this as a lookup column (display a name from an ID).   I am halfway there.. this makes the border disappear but the dropdown arrow is still there. Also the background is not transparent, it's white which means if you have alternating colored rows the background shows up every other row.  How can I accomplish this?

<Style x:Key="ComboBoxStyle"       TargetType="ComboBox">                  
<Setter Property="BorderThickness"           Value="0" />
<Setter Property="Background"           Value="Transparent" />
<Setter Property="Foreground"           Value="Black" />
</Style>

</Style>