2015/09/26 by Max Karoubi, Karoubi, Max, Charles A. Weibel +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.1509.07991
openalex publication_date 2015/09/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.