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arXiv 1509.08049math.AGmath.KT
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Cartier isomorphism for unital associative algebras

D. Kaledin

英文摘要:

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.

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