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

26 Sep 2015  ·  Karoubi Max, Weibel Charles ·

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. read more

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K-Theory and Homology