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arxiv: 1110.6585 · v1 · pith:QM2BPOVTnew · submitted 2011-10-30 · 🧮 math.KT · math.RA

Homogeneous SK1 of simple graded algebras

classification 🧮 math.KT math.RA
keywords gradedhomogeneousalgebrasimplealgebrasdivisionestablishedexact
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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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