Hochschild homology and global dimension
K-Theory and Homology
2014-02-26 v1 Rings and Algebras
Abstract
We prove that for certain classes of graded algebras (Koszul, local, cellular), infinite global dimension implies that Hochschild homology does not vanish in high degrees, provided the characteristic of the ground field is zero. Our proof uses Igusa's formula relating the Euler characteristic of relative cyclic homology to the graded Cartan determinant.
Cite
@article{arxiv.0803.3550,
title = {Hochschild homology and global dimension},
author = {Petter Andreas Bergh and Dag Madsen},
journal= {arXiv preprint arXiv:0803.3550},
year = {2014}
}
Comments
11 pages