Algebraic and real K-theory of Real varieties |
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Authors: | Max Karoubi |
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Institution: | a Institut de Mathématiques, Université Paris 7, 2, place Jussieu, 75251 Paris, cedex 05, France b School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540 USA |
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Abstract: | An algebraic variety defined over the real numbers has an associated topological space with involution, and algebraic vector bundles give rise to Real vector bundles. We show that the associated map from algebraic K-theory to Atiyah's Real K-theory is, after completion at two, an isomorphism on homotopy groups above the dimension of the variety. |
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