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The localization sequence inK-theory

Authors:

A J Berrick and M E Keating

Abstract:

The localizationR sum

of a ringR with respect to a right denominator set Sgr

of non-zero-divisors is shown to induce inK-theory the exact localization sequence

$K_1 (R) \to K_1 (R_\Sigma )\xrightarrow{\partial }K_0 (\mathcal{H}) \to K_0 (R) \to K_0 (R_\Sigma )$

Keywords:	right denominator set localization sequence projective dimension transfer homomorphism skew polynomial ring Euclidean domain integral quaternions
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