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arXiv · 0710.2938

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

Teena Gerhardt
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Abstract

The main result of this paper is the computation of TR^n_α(F_p;p) for αin 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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Teena Gerhardt. 2008-09-19. The R(S^1)-graded equivariant homotopy of THH(F_p). https://doi.org/10.2140/agt.2008.8.1961

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