I'm not arguing that the school shouldn't be shut down, but I wondered on what grounds. According to this, "university" is a protected word and requires certification by the state to operate as such.
https://www.highered.texas.gov/thecb-issues-cease-and-desist-letter-to-illegal-texam-entity/Quote:
To operate or grant degrees in Texas, a private postsecondary educational institution is required to hold a Certificate of Authority issued by the THECB pursuant to Chapter 61, Subchapter G of the Texas Education Code. Because TexAM has never been granted a Certificate of Authority to operate in Texas, it is prohibited from offering to grant degrees or courses leading to a degree. TexAM also is in violation of section 61.313 of the Texas Education Code, which protects the use of terms such as "university" and carries potential criminal liability.
I've worked for a couple of different companies that called their employee training programs "CompanyName University". I guess no one really cares about that because the training is all internal and not offered to the public.
By calling yourself a "university" and granting "degrees", that certainly implies some sort of accreditation even if not explicitly claimed. Seems like a case for fraud could me made.
And this says nothing about the obvious trademark infringement on the Texas A&M name.