On with the show.
I saw a man at the station wearing a t-shirt from "University of Yale". As another blogger noted, seeing a similar sight: "Somehow, I don't think anyone in New Haven is receiving any profit from those shirts."
People outside the US often get American university names wrong in this way, since elsewhere University of X and X University are synonyms. Thus in the UK, University of Essex and Essex University are two names for the same thing. But in the US, University of X may very well be the name of a different university from X University. Some examples:
University of Miami is in Florida; Miami University is in Ohio.
University of Indiana is in Indiana; Indiana University is in Pennsylvania.[see comments]
University of Washington is in Washington State; Washington University is in Missouri.
New York University is a private university; City / State University of New York are city/state-funded.
University of California is in California; California University is in Pennsylvania.
So, the Guardian is just plain wrong when it writes that Donna Shalala is "now a professor of political science and the president of Miami University" and the Telegraph refers to a non-existent place in talking about "Dr James Enstrom of the school of public health, California University, Los Angeles." You'd think that newspaper (AmE) copy-editors/(BrE) sub-editors would know/care about such things, but they don't seem to.
T-shirt pirates, on the other hand, probably know what they're doing--it's harder to make a copyright infringement case against them if they've changed the name of the university.