How can I use the mobileweb facebook connect API with phonegap?

Yes, you can. Use the JavaScript API, enable "Website" and "Mobile Web" under your app settings at https://facebook.com/developers You will need some sort of publicly accessible page available that you can put in your settings, but because you are using this app in a standalone manner, the site doesn't ever need to be used. Also, have a "Login" button when using the JavaScript API.

You might run into popup blocker issues if you programmatically try to open Facebook's login window.

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