I have an Office 365 subscription (ramXXXXX.sharepoint.com). My public facing website is at www.mydomain-name.com, which is managed by another Hosting provider (not on office 365).
While I want my SharePoint online sites to be on intranet.mydomain-name.com, I do not want my public facing site to be effected.
Note, I do not want email, lync and other services to be configured. I just want the SharePoint sites on my sub domain.
If this is possible, I am looking for some pointers on how/where to start with this configuration. Thank you.