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arXiv · 1509.07991

Twisted K-theory, Real $\mathcal{A}$-bundles and Grothendieck-Witt groups

Max Karoubi·Charles Weibel
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Abstract

We introduce a general framework to unify several variants of twisted topological $K$-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 $K$-theory. These groups are linked with the classification of algebraic vector bundles on real algebraic varieties.

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Max Karoubi, Charles Weibel. 2015-09-26. Twisted K-theory, Real $\mathcal{A}$-bundles and Grothendieck-Witt groups. https://arxiv.org/abs/1509.07991

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