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The tower of K-theory of truncated polynomial algebras

Lars Hesselholt
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Abstract

Let A a regular F_p-algebra. The relative K-groups K_q(A[x]/(x^m),(x)) and the Nil-groups Nil_q(A[x]/(x^m)) were evaluated earlier by the author and Madsen in terms of the big de Rham-Witt groups of the ring A. In this paper, we evaluate the maps of relative K-groups and Nil-groups induced by the canonical projection from A[x]/(x^m) to A[x]/(x^n). The result depends strongly on the prime p. It generalizes work of Stienstra on the groups in degrees 2 and 3.

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Lars Hesselholt. 2007-08-12. The tower of K-theory of truncated polynomial algebras. https://doi.org/10.1112/jtopol%2Fjtm007

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