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Wedderburn's factorization theorem application to reduced -theory
Authors:R Hazrat
Institution:Department of Mathematics, University of Bielefeld, P. O. Box 100131, 33501 Bielefeld, Germany
Abstract:

This article provides a short and elementary proof of the key theorem of reduced $K$-theory, namely Platonov's Congruence theorem. Our proof is based on Wedderburn's factorization theorem.

Keywords:Division algebra  reduced $K$-theory  congruence theorem  reduced Whitehead group
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