Algebraic & Geometric Topology 8 (2008) 1961–1987

DOI: 10.2140/agt.2008.8.1961

Abstract

The main result of this paper is the computation of TR_αⁿ(F_p;p) for α in R(S¹). These R(S¹)–graded TR–groups are the equivariant homotopy groups naturally associated to the S¹–spectrum THH(F_p), 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.

Keywords

K-theory, TR-theory, R(S^1)-graded homotopy

Mathematical Subject Classification

Primary: 19D50, 19D55, 55P91

References

Publication

Received: 13 November 2007
Revised: 24 July 2008
Accepted: 10 September 2009
Published: 22 October 2008

Authors