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Real K-theories
Published 9 Oct 2020 in math.KT | (2010.04590v1)
Abstract: The purpose of this short paper is to investigate relations between various real K-theories. In particular, we show how a real projective bundle theorem implies an unexpected relation between Atiyah's KR-theory and the usual equivariant K-theory of real vector bundles. This relation has been used recently in a new computation of the Witt group of real curves by Schlichting, Weibel and the author. We also interpret Atiyah's theory as a special case of twisted K-theory.
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