1. Ritz-Carlton is a separate brand owned by Marriott.
2. The colleges are named after Cesar Ritz because of a donation by his Foundation.
A similar example exists in the U.S. - UNLV's William F. Harrah College of Hotel Administration, which is also named after the founder of Harrah's Hotel and Casinos due to continued donations of his foundation, as well as the casinos. Despite the donations, UNLV is a public university.