Unitary SK_1 for a Graded Division Ring and its Quotient Division Ring
Rings and Algebras
2011-04-12 v1
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 SK_1(E, tau) is isomorphic to SK_1(q(E), tau).
Keywords
Cite
@article{arxiv.1104.1713,
title = {Unitary SK_1 for a Graded Division Ring and its Quotient Division Ring},
author = {A. R. Wadsworth and V. I. Yanchevskii},
journal= {arXiv preprint arXiv:1104.1713},
year = {2011}
}
Comments
17 pages