We give a 3-universal property for the Karoubi envelope of a 2-category. Using this, we show that the 3-categories of finite semisimple 2-categories (as introduced in [1]) and of multifusion categories are equivalent.(c) 2022 Elsevier B.V. All rights reserved.
机构:
Russian Acad Sci, Steklov Math Inst, Moscow, Russia
Natl Res Univ, Higher Sch Econ, Moscow, RussiaRussian Acad Sci, Steklov Math Inst, Moscow, Russia