A. R. Wadsworth and V. I. Yanchevskii : Unitary SK_1 for a Graded Division Ring and its Quotient Division Ring

arwadsworth@ucsd.edu, yanch@im.bas-net.by

Submission: 2011, Apr 10

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 SK_1(E, tau) is isomorphic to SK_1(q(E), tau).

2010 Mathematics Subject Classification: 16W50, 16W10

Keywords and Phrases:

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