Hochschild homology and global dimension

Details Hochschild homology and global dimension Hochschild homology and global dimension

2008-03-25

arxiv.org/abs/0803.3550v1

Mathematics

K-Theory and Homology

11 pages

Scientific paper

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.

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