Triviality of the functor Coker(K1(F)->K1(D)) for division algebras

Hazrat, Roozbah; Vishne, Uzi

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Triviality of the functor Coker(K1(F)->K1(D)) for division algebras

Date

2005

Authors

Hazrat, Roozbah

Vishne, Uzi

Publisher

Marcel Dekker Inc.

Abstract

Let D be a division algebra with center F. Consider the group CK 1(D) = D*/F*D′ where D* is the group of invertible elements of D and D′ is its commutator subgroup. In this note we shall show that, assuming a division algebra D is a product of cyclic