How do I tell Google to recognize the mobile-version and full-version of the web?
There are several ways to indicate to Google the presence of both mobile and full versions of your website. Here are a few methods you can use:
Regardless of which method you choose, it's important to use the "Vary" HTTP header to indicate to Google that your site serves different content based on the user agent. This will help ensure that Google indexes the correct version of your site for each device.
Note: It's also important to keep in mind that your mobile and full versions should contain the same content, or at least the same content that is important for your users and for Google. If the content is different between the two, it can negatively impact your search ranking.