On a sequence of Grothendieck groups
K-Theory and Homology
2024-10-28 v2
Abstract
We show that a well-known exact sequence in K-theory for quotients of triangulated categories descends to numerical K-groups provided that the category, the quotient and the category we take the quotient with has a numerical K-group, and if either the quotient functor preserves compactness or the K-group of the quotient is torsion-free.
Cite
@article{arxiv.2209.03209,
title = {On a sequence of Grothendieck groups},
author = {Ádám Gyenge},
journal= {arXiv preprint arXiv:2209.03209},
year = {2024}
}
Comments
9 pages. Title was changed and a new application was added. Final version. To appear in Homology, Homotopy and Applications. arXiv admin note: text overlap with arXiv:2105.13334