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arXiv · 2603.08344

A remark on the invariance of $K$-theory under duality

Georg Lehner
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Abstract

In this short remark, we explain that two examples of invariance under duality for a localizing invariant $F$ hold purely formally when $F$ is $K$-theory, whereas the general statement for arbitrary localizing invariants does not reduce to a formal statement. We record a counterexample to the claim that the universal localizing invariant is invariant under the operation of taking opposite categories, originally due to Tabuada.

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Georg Lehner. 2026-03-09. A remark on the invariance of $K$-theory under duality. https://arxiv.org/abs/2603.08344

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