A remark on the additivity of traces in triangulated categories
Category Theory
2010-04-08 v2 Representation Theory
Abstract
The additivity of traces in certain tensor triangulated categories for endomorphisms of finite order of distinguished triangles is investigated. For the identity endomorphism this has been fully established by J. P. May ("The additivity of traces in triangulated categories", Adv. Math., 2001, 163, 34-73). By imposing extra conditions on the coefficients we show how May's result implies a stronger additivity.
Keywords
Cite
@article{arxiv.1004.0778,
title = {A remark on the additivity of traces in triangulated categories},
author = {Shahram Biglari},
journal= {arXiv preprint arXiv:1004.0778},
year = {2010}
}
Comments
3 pages, no figure, minor style and wording correction