Dean attended our TechNet Event recently, and asked this question:
No. A Server Core installation is really not meant to be an application platform for rich applications. Many Windows applications require components that are not available in the current Windows Server 2008 R2 core installation. And a core option is not supported in the list of Exchange 2010 supported Operating Systems.
However, while researching this I did fine a very well-done summary of an attempt to make it work. Johan Delimon gave it a shot, and documented his attempt here. (Nice work!) In short – he was sooo close. But it didn’t work.
Have any of you tried to run things on, or are currently supporting applications running on Windows Server Core installations? Share your experience in the comments.