Why does Facebook's Open Graph protocol require an fb:admins or fb:app_id .. and what is the importance of this property?

I already answered on Facebook Dev Forum :

As described here : http://developers.facebook.com/docs/opengraph/

Your page will appear in the "Likes and Interests" section of the user's profile, and you have the ability to publish updates to the user

  1. Without this property you'll loose admin right on the Open Graph Facebook Page
  2. Yep, when users likes your website's page, it'll generate an Open Graph Facebook Page : When users will try to go on it (by cliking on publications, or searching), it will redirect to your website's page.
  3. To publish status updates to users news feed, create events, or add pictures related to this page.