Additive K-theory: Difference between revisions

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{{subst:proposed deletion notify|Additive K-theory|concern=A formula on its own, with no explanation or coverage, does not meet requirements for [[WP:STUB]]. There may also be [[WP:N|notability]] issues and [[WP:NOTPAPER]] issues.}} ~~~~

Timestamp: 20091126164214 16:42, 26 November 2009 (UTC)
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Following ^[1], let $A$ be an algebra over a field $k$ of characteristics zero and let ${{\mathfrak {g}}l}(A)$ be the algebra of infinite matrices over $A$ with only finitely many nonzero entries. Then the Lie algebra homology $H_{\cdot }({{\mathfrak {g}}l}(A),k)$ has a natural structure of a Hopf algebra. The space of its primitive elements of degree $i$ is denoted by $K_{i}^{+}(A)$ and called the $i$ -th additive K-functor of $A$ .

The additive K-functors are related to cyclic homology groups by the isomorphism

$HC_{i}(A)=K_{i+1}^{+}(A)$ .

References

^ B.Feigin, B.Tsygan. Additive K-theory, LNM 1289, Springer

This article has not been added to any content categories. Please help out by adding categories to it so that it can be listed with similar articles. (November 2009)

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Revision as of 16:42, 26 November 2009

References