Volume 8, issue 4 (2008)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
The $R(S^1)$–graded equivariant homotopy of THH($\mathbb{F}_p$)

Teena Meredith Gerhardt

Algebraic & Geometric Topology 8 (2008) 1961–1987
Abstract

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.

Keywords
K-theory, TR-theory, R(S^1)-graded homotopy
Mathematical Subject Classification 2000
Primary: 19D50, 19D55, 55P91
References
Publication
Received: 13 November 2007
Revised: 24 July 2008
Accepted: 10 September 2009
Published: 22 October 2008
Authors
Teena Meredith Gerhardt
114 E 6th St
Unit A
Bloomington
IN 47408
USA
http://mypage.iu.edu/~tgerhard/Home.html