A descent theorem in topological K-theory

Preprint

18 September 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0509396

Abstract

Let A be a Banach algebra and A' its complexification. In this paper we show that the homotopy fixed point set of K(A'), the topological K-theory space of A', under complex conjugation is just K(A), the topological K-theory space of A. This result generalizes the well known fact that BO is BU^hZ/2. The proof uses in an essential way Atiyah's KR theory and the Clifford algebra definition of higher K-groups.

Keywords

TOPOLOGICAL K THEORY
DESCENT THEOREM
BANACH ALGEBRA
THEORY SPACE

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