Homogeneous SK1 of simple graded algebras

Details Homogeneous SK1 of simple graded algebras Homogeneous SK1 of simple graded algebras

2011-10-30

arxiv.org/abs/1110.6585v1

Mathematics

K-Theory and Homology

16 pages

Scientific paper

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.

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