On the algebraic K-theory of the complex K-theory spectrum
Algebraic Topology
2010-03-23 v3 K-Theory and Homology
Abstract
Let p>3 be a prime, let ku be the connective complex K-theory spectrum, and let K(ku) be the algebraic K-theory spectrum of ku. We study the p-primary homotopy type of the spectrum K(ku) by computing its mod (p,v_1) homotopy groups. We show that up to a finite summand, these groups form a finitely generated free module over a polynomial algebra F_p[b], where b is a class of degree 2p+2 defined as a higher Bott element.
Keywords
Cite
@article{arxiv.0902.2334,
title = {On the algebraic K-theory of the complex K-theory spectrum},
author = {Christian Ausoni},
journal= {arXiv preprint arXiv:0902.2334},
year = {2010}
}
Comments
Revised and expanded version, 42 pages.