Cartier isomorphism for unital associative algebras

Abstract

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

LaTeX2e, 26 pages

References in corpus (1)

• p-adic derived de Rham cohomology

Cited by in corpus (3)

• Co-periodic cyclic homology
• Hochschild-Witt complex
• Bokstein homomorphism as a universal object