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arXiv · 2607.09538

Exterior power operations on relative K-theory

Bernhard Köck·Jane Turner
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Abstract

We algebraically construct exterior power operations on higher relative algebraic K-groups and prove their desired properties such as the expected behaviour with respect to (tensor) products and composition. This builds on Grayson's description of relative K-groups in terms of explicit generators and relations and on work by Harris, the first author and Taelman for (absolute) K-groups. Among the new features in our approach is the observation that the product axiom in the classical notion of a lambda-ring is redundant.

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Bernhard Köck, Jane Turner. 2026-07-10. Exterior power operations on relative K-theory. https://arxiv.org/abs/2607.09538

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