Google chrome is not in the install list in app center. Does it get updated anyway? If it does not, how to fix this?
After installing, you can safely delete the .Deb package, as the application will appear under the 'updates' tab in your AppCenter, and can be removed from there.
Such an operation is called sideloading, and while generally discouraged, it is also at time necessary.
UPDATE: On my computers, chrome doesn't show up in the AppCenter either, after installing it through the above stated methods. They do however, both, run the current version of it, so yes, it does get updates