R. Hazrat: Wedderburn's Factorization Theorem Application to Reduced $K$-Theory


Submission: 2000, April 6, revised: 2000, June 4

We give a short and elementary proof of the key theorem of reduced $K$-theory, namely, Platonov Congruence theorem, based on Wedderburn factorization theorem.

1991 Mathematics Subject Classification:

Keywords and Phrases: Division algebra, Reduced $K$-theory, Congruence theorem, Reduced Whitehead group

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