English

Cartier isomorphism for unital associative algebras

Algebraic Geometry 2015-09-29 v1 K-Theory and Homology

Abstract

Given an associative unital algebra AA over a perfect field kk of odd positive characteristic, we construct a non-commutative generalization of the Cartier isomorphism for AA. The role of differential forms is played by Hochschild homology classes, and de Rham diferential is replaced with the Connes-Tsygan differential.

Keywords

Cite

@article{arxiv.1509.08049,
  title  = {Cartier isomorphism for unital associative algebras},
  author = {D. Kaledin},
  journal= {arXiv preprint arXiv:1509.08049},
  year   = {2015}
}

Comments

LaTeX2e, 26 pages