The R(S^1)-graded equivariant homotopy of THH(F_p)

Details The R(S^1)-graded equivariant homotopy of THH(F_p) The R(S^1)-graded equivariant homotopy of THH(F_p)

2007-10-16

arxiv.org/abs/0710.2938v2

Mathematics

Algebraic Topology

27 Pages. Statement and Proof of main theorem simplified. To appear in Algebraic and Geometric Topology

Scientific paper

The main result of this paper is the computation of TR^n_{\alpha}(F_p;p) for \alpha in R(S^1). These R(S^1)-graded TR-groups are the equivariant homotopy groups naturally associated to the S^1-spectrum THH(F_p), the topological Hochschild S^1-spectrum. This computation, which extends a partial result of Hesselholt and Madsen, provides the first example of the R(S^1)-graded TR-groups of a ring. These groups arise in algebraic K-theory computations, and are particularly important to the understanding of the algebraic K-theory of non-regular schemes.

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