Rational algebraic K-theory of topological K-theory
K-Theory and Homology
2014-11-11 v1 Algebraic Topology
Abstract
We show that after rationalization there is a homotopy fiber sequence BBU -> K(ku) -> K(Z). We interpret this as a correspondence between the virtual 2-vector bundles over a space X and their associated anomaly bundles over the free loop space LX. We also rationally compute K(KU) by using the localization sequence, and K(MU) by a method that applies to all connective S-algebras.
Keywords
Cite
@article{arxiv.0708.2160,
title = {Rational algebraic K-theory of topological K-theory},
author = {Christian Ausoni and John Rognes},
journal= {arXiv preprint arXiv:0708.2160},
year = {2014}
}
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22 pages