  We show that the category of finite-dimensional modules over the endomorphism
algebra of a rigid object in a Hom-finite triangulated category is equivalent
to the Gabriel-Zisman localisation of the category with respect to a certain
class of maps. This generalises the 2-Calabi-Yau tilting theorem of
Keller-Reiten, in which the module category is obtained as a factor category,
to the rigid case.
