RO(S^1)-graded TR-groups of F_p, Z and \ell

Details RO(S^1)-graded TR-groups of F_p, Z and \ell RO(S^1)-graded TR-groups of F_p, Z and \ell

2008-11-09

arxiv.org/abs/0811.1313v3

Mathematics

Algebraic Topology

Minor revisions. To appear in the Journal of Pure and Applied Algebra

Scientific paper

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

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