On the K-theory of truncated polynomial algebras over the integers

Vigleik Angeltveit; Teena Gerhardt; Lars Hesselholt

doi:10.1112/jtopol/jtp011

On the K-theory of truncated polynomial algebras over the integers

Vigleik Angeltveit^*
, Teena Gerhardt^*
, Lars Hesselholt^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We show that (Formula presented.) is finite of order (mi)!(i!)^m−2 and that (Formula presented.) 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 for q even, and finite for q odd, and by determining their ranks and orders, respectively.

Original language	English
Pages (from-to)	277-294
Number of pages	18
Journal	Journal of Topology
Volume	2
Issue number	2
DOIs	https://doi.org/10.1112/jtopol/jtp011
Publication status	Published - 2009
Externally published	Yes

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title = "On the K-theory of truncated polynomial algebras over the integers",

abstract = "We show that (Formula presented.) is finite of order (mi)!(i!)m−2 and that (Formula presented.) is free abelian of rank m − 1. This is accomplished by showing that the equivariant homotopy groups TRnq-λ(Z;p) of the topological Hochschild T-spectrum T(Z) are free abelian for q even, and finite for q odd, and by determining their ranks and orders, respectively.",

author = "Vigleik Angeltveit and Teena Gerhardt and Lars Hesselholt",

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year = "2009",

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AU - Gerhardt, Teena

AU - Hesselholt, Lars

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N2 - We show that (Formula presented.) is finite of order (mi)!(i!)m−2 and that (Formula presented.) is free abelian of rank m − 1. This is accomplished by showing that the equivariant homotopy groups TRnq-λ(Z;p) of the topological Hochschild T-spectrum T(Z) are free abelian for q even, and finite for q odd, and by determining their ranks and orders, respectively.

AB - We show that (Formula presented.) is finite of order (mi)!(i!)m−2 and that (Formula presented.) is free abelian of rank m − 1. This is accomplished by showing that the equivariant homotopy groups TRnq-λ(Z;p) of the topological Hochschild T-spectrum T(Z) are free abelian for q even, and finite for q odd, and by determining their ranks and orders, respectively.

UR - https://www.scopus.com/pages/publications/79451471870

U2 - 10.1112/jtopol/jtp011

DO - 10.1112/jtopol/jtp011

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VL - 2

SP - 277

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JO - Journal of Topology

JF - Journal of Topology

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ER -

On the K-theory of truncated polynomial algebras over the integers

Abstract

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