Homogeneous SK1 of simple graded algebras
K-Theory and Homology
2011-11-01 v1 Rings and 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.
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Cite
@article{arxiv.1110.6585,
title = {Homogeneous SK1 of simple graded algebras},
author = {R. Hazrat and A. R. Wadsworth},
journal= {arXiv preprint arXiv:1110.6585},
year = {2011}
}
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16 pages