Gorenstein homological algebra and universal coefficient theorems
K-Theory and Homology
2020-07-27 v1 Operator Algebras
Representation Theory
Abstract
We study criteria for a ring - or more generally, for a small category - to be Gorenstein and for a module over it to be of finite projective dimension. The goal is to unify the universal coefficient theorems found in the literature and to develop a machinery for proving new ones. Among the universal coefficient theorems covered by our methods we find, besides all the classic examples, several exotic examples arising from the KK-theory of C*-algebras and also Neeman's Brown-Adams representability theorem for compactly generated categories.
Cite
@article{arxiv.1510.00426,
title = {Gorenstein homological algebra and universal coefficient theorems},
author = {Ivo Dell'Ambrogio and Greg Stevenson and Jan Stovicek},
journal= {arXiv preprint arXiv:1510.00426},
year = {2020}
}
Comments
43 pages