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2008 The $R(S^1)$–graded equivariant homotopy of THH($\mathbb{F}_p$)
Teena Gerhardt
Algebr. Geom. Topol. 8(4): 1961-1987 (2008). DOI: 10.2140/agt.2008.8.1961

Abstract

The main result of this paper is the computation of TRαn(Fp;p) for αR(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.

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Teena Gerhardt. "The $R(S^1)$–graded equivariant homotopy of THH($\mathbb{F}_p$)." Algebr. Geom. Topol. 8 (4) 1961 - 1987, 2008. https://doi.org/10.2140/agt.2008.8.1961

Information

Received: 13 November 2007; Revised: 24 July 2008; Accepted: 10 September 2009; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1159.19300
MathSciNet: MR2449005
Digital Object Identifier: 10.2140/agt.2008.8.1961

Subjects:
Primary: 19D50, 19D55, 55P91

Rights: Copyright © 2008 Mathematical Sciences Publishers

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