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

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 نشر من قبل Teena Gerhardt
 تاريخ النشر 2008
  مجال البحث
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 تأليف Teena Gerhardt




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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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