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On the vanishing of Twisted negative K-theory and homotopy invariance

Published 10 Sep 2024 in math.AG and math.KT | (2409.06228v1)

Abstract: In this article, we revisit Weibel's conjecture for twisted $K$-theory. We also examine the vanishing of twisted negative $K$-groups for Pr\"{u}fer domains. Furthermore, we observe that the homotopy invariance of twisted $K$-theory holds for (finite-dimensional) Pr\"{u}fer domains.

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