Need to install asp.net ("Application Server") when deploying WebApi on a 2012 server?

Question

I am new to WebAPI in .Net 4.5. My question is probably a FAQ, but I could not find how to solve it: Do I need to add the application server role in addition to IIS so that the WebApi application launched by IIS runs on the 2012 server? I believe .Net 4.5 already exists in 2012, but do I also need to install the asp.net role?

The closest thing I could find on this is:

• Minimum Files Required for Web Server Server Deployment