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arXiv · 1110.6585

Homogeneous SK1 of simple graded algebras

R. Hazrat·A. R. Wadsworth
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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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R. Hazrat, A. R. Wadsworth. 2011-10-30. Homogeneous SK1 of simple graded algebras. https://arxiv.org/abs/1110.6585

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