Geodesic
The R(S1)–graded equivariant homotopy of THH(𝔽p)
Gerhardt, Teena1
1114 E 6th St, Unit A, Bloomington, IN 47408, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 4, pp. 1961-1987
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The main result of this paper is the computation of TRαn(Fp;p) for α ∈ R(S1). These R(S1)–graded TR–groups are the equivariant homotopy groups naturally associated to the S1–spectrum THH(Fp), the topological Hochschild S1–spectrum. This computation, which extends a partial result of Hesselholt and Madsen, provides the first example of the R(S1)–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.

DOI : 10.2140/agt.2008.8.1961
Keywords: K-theory, TR-theory, R(S^1)-graded homotopy

Gerhardt, Teena  1

1 114 E 6th St, Unit A, Bloomington, IN 47408, USA 
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Gerhardt, Teena. The R(S1)–graded equivariant homotopy of THH(𝔽p). Algebraic and Geometric Topology, Tome 8 (2008) no. 4, pp. 1961-1987. doi: 10.2140/agt.2008.8.1961

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