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This is (I think) a reference request:

Are there calculations of any algebraic K-groups for the (group ring of) the Artin braid groups?

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    $\begingroup$ Perhaps you should tag it as reference-request then. $\endgroup$ – hypercube Dec 10 '10 at 4:52
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A result regarding the Whitehead group, reduced projective class group and the lower K-groups of the group ring of the Artin braid groups is here link text

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