Thirty-Third Annual Victorian Algebra Conference, Sydney, Australia, 2015

Register for: VAC33

Details of talk

TitleRecollement of Colimit Categories and Its Applications
PresenterJu Huang (Fujian Normal University)
Author(s)Dr Ju Huang, Pro Qinghua Chen

This talk gives a recollement of cocomplete abelian categories and its colimit
categories by constructing six functors, obtains the $K_i$ groups of cocomplete
abelian categories are summands of their colimit categories. Further, by
applying the main theorem, we get some results about Leavitt path algebras,
derived equivalence and $K_i$ groups.