7-Zip is open source software. Most of the code is under the GNU LGPL license. Some parts of the code are under the BSD 3-clause License. Also there is unRAR license restriction for some parts of the code.
You can use 7-Zip on any computer, including a computer in a commercial organization. You don't need to register or pay for 7-Zip.
Individuals at U-M are ultimately responsible for any infringing software on their computers or devices or for violating the terms and conditions of software licenses. Individuals are responsible for reviewing the SPG on Software Procurement and Licensing Compliance.