Abstract

The purpose of this note is to give another example of applications of the general results of an earlier paper. Here we apply the general localization theorem in K-theory of admissible abelian categories obtained there to twisted projective lines and obtain a long exact sequence relating the K-theory of twisted polynomial and twisted Laurent polynomial rings: · · · → K n+1(R φ[t, t −1]) →, K n(R) ⊕ K n(R) → K n(R φ[t]) ⊕ K n(R φ[t −1]) → K n(R φ[t, t −1]) → · · · .

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