Having finally configured HTTPS for my company's website, I'm wondering now if there are any steps I can or should take to convince Google's search results to list the site as an HTTPS link rather than an HTTP link.
Is this merely a case of waiting for Google to trawl valid HTTPS links on its own and eventually realize the HTTPS address exists? Or is there some overt actions I should be taking, for example setting up redirects to force the issue?