Homogeneous SK1 of simple graded algebras

Abstract

For a simple graded algebra A=M_n(E) over a graded division algebra E, a short exact sequence relating the reduced Whitehead group of the homogeneous part of A to that of E is established. In particular it is shown that the homogeneous SK1 is not in general Morita invariant.

arXiv comment16 pages

References in corpus (2)

• Unitary SK_1 for a Graded Division Ring and its Quotient Division Ring
• Unitary SK_1 of semiramified graded and valued division algebras