Twisted K-theory, Real $\mathcal{A}$-bundles and Grothendieck-Witt groups
K-Theory and Homology
2015-09-29 v1
Abstract
We introduce a general framework to unify several variants of twisted topological -theory. We focus on the role of finite dimensional real simple algebras with a product-preserving involution, showing that Grothendieck-Witt groups provide interesting examples of twisted -theory. These groups are linked with the classification of algebraic vector bundles on real algebraic varieties.
Keywords
Cite
@article{arxiv.1509.07991,
title = {Twisted K-theory, Real $\mathcal{A}$-bundles and Grothendieck-Witt groups},
author = {Max Karoubi and Charles Weibel},
journal= {arXiv preprint arXiv:1509.07991},
year = {2015}
}