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arXiv · 1510.00426

Gorenstein homological algebra and universal coefficient theorems

Ivo Dell'Ambrogio·Greg Stevenson·Jan Stovicek
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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.

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Ivo Dell'Ambrogio, Greg Stevenson, Jan Stovicek. 2015-10-01. Gorenstein homological algebra and universal coefficient theorems. https://doi.org/10.1007/s00209-017-1862-7

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