Title: Quotients of triangulated categories and Equivalences of Buchweitz, Orlov and Amiot--Guo--Keller,
Abstract: We give a sufficient condition for a Verdier quotient $\ct/\cs$ of a
triangulated category $\ct$ by a thick subcategory $\cs$ to be realized inside
of $\ct$ as an ideal quotient. As applications, we deduce three significant
results by Buchweitz, Orlov and Amiot--Guo--Keller.