Rails - Aug 2006 - Can I strip a file suffix off a URL with routing?

I would like a route that strips of the suffix of a url before
determining the action. Eg:

  http://mydomain.com/my_controller/my_action.pdf

Would map to:  { :controller => ''my_controller'', :action
=> ''my_action'' }

Is this possible?

Thanks,
-Jonathan.