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ON THE K-THEORY OF TRUNCATED POLYNOMIAL ALGEBRAS OVER THE RATIONAL INTEGERS

By Vigleik Angeltveit, Teena Gerhardt and Lars Hesselholt

Abstract

We show that K2i(Z[x]/(xm), (x)) is finite of order (mi)!(i!) m−2 and that K2i−1(Z[x]/(xm), (x)) is free abelian of rank m − 1. This is accomplished by showing that the equivariant homotopy groups TRn q−λ (Z; p) of the topological Hochschild T-spectrum T(Z) are free abelian, if q is even, and finite, if q is odd, and by determining their ranks and orders, respectively

Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.311.3038
Provided by: CiteSeerX
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