Rational algebraic K-theory of topological K-theory

Details Rational algebraic K-theory of topological K-theory Rational algebraic K-theory of topological K-theory

2007-08-16

arxiv.org/abs/0708.2160v1

Mathematics

K-Theory and Homology

22 pages

Scientific paper

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.

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