Unitary SK1 for a Graded Division Ring and its Quotient Division Ring
Abstract
Let E be a graded division ring finite-dimensional over its center with torsion-free abelian grade group, and let q(E) be its quotient division ring. Let tau be a degree-preserving unitary involution on E. We prove that SK1(E, tau) is isomorphic to SK1(q(E), tau).
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