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On the algebraic K-theory of truncated polynomial algebras in several variables

Angeltveit, Vigleik; Gerhardt, Teena; Hill, Michael A.; Lindenstrauss, Ayelet

Description

We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x1......xn]/(x1a1…….xnan). This naturally leads to a new generalization of the big Witt vectors. If k is a perfect field of positive characteristic we describe the K-theory computation in terms of a cube of these Witt vectors on ℕ n . If the characteristic of k does not divide any of the ai we compute the K-groups explicitly. We also compute the K-groups modulo torsion for k = ℤ. To...[Show more]

CollectionsANU Research Publications
Date published: 2014-02
Type: Journal article
URI: http://hdl.handle.net/1885/11721
Source: Journal of K-Theory 13.4 (2014): 57-81
DOI: 10.1017/is013010011jkt243

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