RO(S1)-graded TR-groups of Fp, Z and ℓ

Vigleik Angeltveit; Teena Gerhardt

doi:10.1016/j.jpaa.2010.09.002

RO(S1)-graded TR-groups of Fp, Z and ℓ

Vigleik Angeltveit^*, Teena Gerhardt

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We give an algorithm for calculating the RO(S1)-graded TR-groups of Fp, completing the calculation started by the second author. We also calculate the RO(S1)-graded TR-groups of Z with mod p coefficients and of the Adams summand ℓ of connective complex K-theory with V(1)-coefficients. These calculations are used elsewhere to compute the algebraic K-theory of certain Z-algebras.

Original language	English
Pages (from-to)	1405-1419
Number of pages	15
Journal	Journal of Pure and Applied Algebra
Volume	215
Issue number	6
DOIs	https://doi.org/10.1016/j.jpaa.2010.09.002
Publication status	Published - Jun 2011
Externally published	Yes

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10.1016/j.jpaa.2010.09.002

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AB - We give an algorithm for calculating the RO(S1)-graded TR-groups of Fp, completing the calculation started by the second author. We also calculate the RO(S1)-graded TR-groups of Z with mod p coefficients and of the Adams summand ℓ of connective complex K-theory with V(1)-coefficients. These calculations are used elsewhere to compute the algebraic K-theory of certain Z-algebras.

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RO(S1)-graded TR-groups of Fp, Z and ℓ

Abstract

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