WPF GridViewColumn align doesnt work

I want the information in GridViewColumn "from" aligned to the right.

This is what I have done and its not working:

    <ListView ItemsSource="{Binding VolumeNumber}" HorizontalAlignment="Stretch" HorizontalContentAlignment="Stretch" >
       <ListView.View>
          <GridView AllowsColumnReorder="False">
             <GridViewColumn Header="SomeStatus" DisplayMemberBinding="{Binding Name}" Width="170" />
             <GridViewColumn Header="from" DisplayMemberBinding="{Binding Value, StringFormat=0.000000}" Width="170 >
                <GridViewColumn.CellTemplate>
                   <DataTemplate>
                      <TextBlock TextAlignment="Right" Width="40"/>
                   </DataTemplate>
                </GridViewColumn.CellTemplate>
             </GridViewColumn>
          </GridView>
       </ListView.View>
    </ListView>